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What numbers have the greatest common factors of one?
Co-prime numbers, relatively prime numbers and any set of prime numbers.
What is the greatest common factor of 5 and 23?
Because both numbers are prime numbers, the only common factor they have is 1. Therefore, 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 5 are 1 and 5. The factors of 23 are 1 and 23. 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 factor of 5 is 5. The prime factor of 23 is 23. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
What is the greatest common factor of two prime numbers?
The greatest common factor of two different prime numbers is 1. The two prime numbers have as their factors, 1 and themselves. That means that 1 is the only factor they have in common.The GCF is 1.
What is the greatest common factor of 65 and 213?
One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 65 are 1, 5, 13, and 65. The factors of 213 are 1, 3, 71, and 213. 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 65 are 5 and 13. The prime factors of 213 are 3 and 71. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
What is the greatest common factors of two prime numbers is 1?
This is true...
What is the greatest common factor of 13 and 51?
The greatest common factor of 13 and 51 is 1.The common factors of 13 and 51 are only the number 1.Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.Methods:One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 13 are 1 and 13.The factors of 51 are 1, 3, 17, and 51.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. To then obtain the common factors, list all the factors of the greatest common factor.The prime factors of 13 are 1 and 13.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.
Why do you need the common prime factors when finding the greatest common factor?
You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.
what is the largest factor that two numbers share is called?
The greatest common factor (GCF) of two (or more) numbers is the greatest factor that divides two numbers. To find the GCF you must work out and list the prime factors of each of the numbers. You will see that the numbers have prime factors in common. Multiply those factors the numbers have in common together and this gives you the GCF for the numbers. eg Number A = 18, Prime factors = 2*3*3 Number B = 24, Prime factors = 2*2*2*3 The Prime factors that A and B have in common are 2 and 3 Multiply them together = 6 6= the GCF of 18 and 24
What is the greatest common factor of 12 and 25?
The greatest common factor of 12 and 25 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 12 are 1, 2, 3, 4, 6, and 12. The factors of 25 are 1, 5, and 25. The only common factor is 1. Therefore, the greatest common factor is 1. 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 12 are 2, 2, and 3. The prime factors of 25 are 5 and 5. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
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 of 9 and 25?
Answer:The only common factor of 9 and 25 is 1.The greatest common factor of 9 and 25 is 1.Because 1 is the only common factor, the numbers are relatively prime.Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.Methods:One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.The factors of 9 are 1, 3, and 9.The factors of 25 are 1, 5, and 25.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.The common factors and greatest common factor can also be calculated by identifying the common prime factors and multiplying them together to identify the greatest common factor, and then taking all the factors of it to determine the common factors.The prime factors of 9 are 3 and 3.The prime factors of 25 are 5 and 5.There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
What is the greatest common factor of 2 and 211?
The only factors of 2 are 1 and 2, so the greatest common factor is 2 if the other number is even or 1 if it is not. 211 is not even. Therefore, the greatest common factor is 1. Another way to solve this is by knowing that when both numbers are prime numbers, the greatest common factor is 1. Both 2 and 211 are prime numbers, so their greatest common factor is 1. One more way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 2 are 1 and 2. The factors of 211 are 1 and 211. 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 factor of 2 is 2. The prime factor of 211 is 211. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
