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

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Answer: 1. One way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 25 are 1, 5, and 25.The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 25 are 5 and 5.The prime factors of 42 are 2, 3, and 7.There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.Another way to approach this is to look at the difference between 25 and 42, which is 17. 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 17 is a prime number, the greatest common factor must be either 1 or 17. Neither 25 nor 42 are divisible by 17, so the greatest common factor is 1. This is a useful shortcut if you notice that the difference between the two numbers is a prime number.

A greatest common factor is the largest factor between two or more numbers. For example, the greatest common factor of 10 and 12 is 2. Because the factors of 10 are 1,2,5, and 10 and the factors of 12 are 1,2,3,4,6, and 12. Since 2 is the largest factor that they both share, it is the greatest common factor.

The greatest common factor that is possible for two numbers between 40 and 50 would be 10 if both 40 and 50 are allowed, since 50 - 40 = 10. If only the numbers from 41 to 49 are allowed, the difference is 8, so 8 would be the largest possible common factor, but neither 41 nor 49 are divisible by 8, so that situation does not exist. However, 42 and 49 are both divisible by 7, which is their greatest common factor.

The Greatest Common Factor (GCF) is: 1

Greatest Common Factor= 1

Related questions

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

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

No difference.

24 - 1 = 23

One way to approach this is to look at the difference between 99 and 110, which is 11. 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 110 are divisible by 11, the greatest common factor is 11.

No difference. In this context, highest and greatest mean the same thing.

Answer: 2 One way to approach this is to look at the difference between 84 and 86, which is 2. 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 84 and 86 are divisible by 2, the greatest common factor is 2.

The GCF is 2. The LCF is 1. The difference is 1.

The GCF of 30, 45, and 90 is 15. One way to approach this is to look at the difference between 30, 45, and 90. The difference between 30 and 45 is 15. The difference between 45 and 90 is 45. The greatest common factor cannot be larger than the smallest difference between the numbers and must be a factor of the difference. The smallest difference is 15. Since 30, 45, and 90 are divisible by 15, the greatest common factor is 15.

Difference Between GCF and LCM. The Greatest Common Factor (or the GCF) is the greatest real number shared between two integers. ... On the other hand, the Lowest Common Multiple (or LCM) is the integer shared by two numbers that can be divided by both numbers

If we are trying to find the two numbers less than 50 with the greatest common factor, we need to pick two numbers with a larger difference between them, since the greatest common factor between two numbers cannot be greatest than the difference between the two numbers. To create a large difference, we will want one number to be close in value to 50. And, for the greatest common factor, we want the other number itself to be the greatest common factor. The greatest common factor that the larger number can have (since it is larger and thus cannot be the greatest common factor itself) is the number which is half its value. So, if we choose the even number closest in value to 50, we get 48. Then, if we take half of it, we get 24. The greatest common factor of 24 and 48 is 24. This is the largest possible greatest common factor of a pair of numbers less than 50.

24 - 1 = 23