Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
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Yes, the greatest common factor of two different prime numbers is always 1
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
Such numbers are relatively prime, or co-prime.
Since both 23 and 47 are prime numbers, their greatest common factor is 1.
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.