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# What is the difference between common factors and greatest common factors?

Updated: 4/28/2022

Wiki User

11y ago

The greatest common factor is the largest of the common factors.

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11y ago

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Q: What is the difference between common factors and greatest common factors?
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### What is the difference between greatest common factor and common factor?

The GCF is the largest of the common factors.

### What is the difference between the gcf and gcd?

If that's greatest common factor and greatest common divisor, there is no difference between them.

### What is the greatest common factor of 12 20 and 26?

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 12 are 1, 2, 3, 4, 6, and 12.The factors of 20 are 1, 2, 4, 5, 10, and 20.The factors of 26 are 1, 2, 13, and 26.The common factors are 1 and 2. Therefore, the greatest common factor is 2.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 12 are 2, 2, and 3.The prime factors of 20 are 2, 2, and 5.The prime factors of 26 are 2 and 13.The prime factors in common are a single 2, so the greatest common factor is 2.Another way to approach this is to look at the differences between the numbers. The difference between 12 and 20 is 8. The difference between 20 and 26 is 6. The greatest common factor cannot be greater than the smallest difference between the numbers, and must be a factor of the differences between the numbers. So, the greatest common factor of 6 and 8 will also be the greatest common factor of 12, 20, and 26. Next, you can compare the difference of the differences: the difference between 6 and 8 is 2, which divides both 6 and 8, so the greatest common factor of 6 and 8 is 2. Thus, the greatest common factor of 12, 20, and 26 is 2.2126,23,2,22010,25,2,2262,13The only common factor is 2, the GCF.

### What is the greatest common factor of 24 and 27?

The greatest common factor of 24 and 27 is 3One way to approach this is to look at the difference between 24 and 27, which is 3. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 24 and 27 are divisible by 3, the greatest common factor is 3.Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.The factors of 27 are 1, 3, 9, and 27.The common factors are 1 and 3. Therefore, the greatest common factor is 3.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 24 are 2, 2, 2, and 3.The prime factors of 27 are 3, 3, and 3.The prime factors in common are a single 3, so the greatest common factor is 3.Summary of results:The common factors are 1 and 3.The greatest common factor is 3

### What is the greatest common factor of 49 and 42?

One way to approach this is to look at the difference between 42 and 49, which is 7. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 42 and 49 are divisible by 7, the greatest common factor is 7. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The factors of 49 are 1, 7, and 49. The common factors are 1 and 7. Therefore, the greatest common factor is 7. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 42 are 2, 3, and 7. The prime factors of 49 are 7 and 7. The prime factors in common are a single 7, so the greatest common factor is 7

### What is the greatest common factor of 45 and 50?

One way to approach this is to look at the difference between 45 and 50, which is 5. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 45 and 50 are divisible by 5, the greatest common factor is 5. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 45 are 1, 3, 5, 9, 15, and 45. The factors of 50 are 1, 2, 5, 10, 25, and 50. The common factors are 1 and 5. Therefore, the greatest common factor is 5. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 45 are 3, 3, and 5. The prime factors of 50 are 2, 5, and 5. The prime factors in common are a single 5, so the greatest common factor is 5.

### What is the greatest common factor of 99 and 102?

One way to approach this is to look at the difference between 99 and 102, which is 3. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 99 and 102 are divisible by 3, the greatest common factor is 3. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 99 are 1, 3, 9, 11, 33, and 99. The factors of 102 are 1, 2, 3, 6, 17, 34, 51, and 102. The common factors are 1 and 3. Therefore, the greatest common factor is 3. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 99 are 3, 3, and 11. The prime factors of 102 are 2, 3, and 17. The prime factors in common are a single 3, so the greatest common factor is 3.

### What is the greatest common factor of 32 and 51 using prime factors?

The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 32 are 2, 2, 2, 2, and 2. The prime factors of 51 are 3 and 17. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 32 are 1, 2, 4, 8, 16, and 32. The factors of 51 are 1, 3, 17, and 51. The only common factor is 1. Therefore, the numbers are relatively prime and the greatest common factor is 1. You can also determine the greatest common factor by looking at the difference between the two numbers, which is 19. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference between the numbers. Since 19 is a prime number, the only factors it has are 1 and 19. Since 32 and 51 are not divisible by 19, the greatest common factor is 1.

### What are the greatest common factors between 42 and 32?

2 ist greatest common factor

### What is the greatest common factor of 296 and 375?

The GCF of 296 and 375 is 1. The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 296 are 2, 2, 2, and 37. The prime factors of 375 are 3, 5, 5, and 5. They have no prime factors in common, so they are relatively prime, which means their greatest common factor is 1. Another way to approach this is to look at the difference between 296 and 375, which is 79. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference between the numbers. Since 79 is a prime number, the greatest common factor must be either 1 or 79. Since the numbers are not divisible by 79, the greatest common factor is 1.

### What is the greatest common factor of 26 48 and 75?

The GCF of 26, 48, and 75 is 1. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 26 are 1, 2, 13, and 26. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 75 are 1, 3, 5, 15, 25, and 75. The only common factor is 1. Therefore, the greatest common factor is 1. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 26 are 2 and 13. The prime factors of 48 are 2, 2, 2, 2, and 3. The prime factors of 75 are 3, 5, and 5. The are no prime factors in common, so the greatest common factor is 1. Another way to approach this is to look at the differences between the numbers. The difference between 26 and 48 is 22. The difference between 48 and 75 is 27. The greatest common factor of two or more numbers cannot be larger than the smallest difference between the numbers. The greatest common factor of 26, 48, and 75 must also be a factor of the differences between the numbers. So, the greatest common factor of 22 and 27 is also the greatest common factor of 26, 48, and 75. The greatest common factor of 22 and 27 is 1, so the greatest common factor of 26, 48, and 75 is also 1.

### What are the greatest common factors between 50and48?

Common factors of 50 and 48 are: 1 and 2.