What is the Greatest Common Factor of 64675 and 64684?

Greatest common factor (GCF) of 64675 and 64684 is 1.

GCF(64675,64684) = 1

We will now calculate the prime factors of 64675 and 64684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64675 and 64684.

How to find the GCF of 64675 and 64684?

We will first find the prime factorization of 64675 and 64684. After we will calculate the factors of 64675 and 64684 and find the biggest common factor number .

Step-1: Prime Factorization of 64675

Prime factors of 64675 are 5, 13, 199. Prime factorization of 64675 in exponential form is:

64675 = 5² × 13¹ × 199¹

Step-2: Prime Factorization of 64684

Prime factors of 64684 are 2, 103, 157. Prime factorization of 64684 in exponential form is:

64684 = 2² × 103¹ × 157¹

Step-3: Factors of 64675

List of positive integer factors of 64675 that divides 64675 without a remainder.

1, 5, 13, 25, 65, 199, 325, 995, 2587, 4975, 12935

Step-4: Factors of 64684

List of positive integer factors of 64684 that divides 64675 without a remainder.

1, 2, 4, 103, 157, 206, 314, 412, 628, 16171, 32342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64675 and 64684. The biggest common factor number is the GCF number.
So the greatest common factor 64675 and 64684 is 1.

Also check out the Least Common Multiple of 64675 and 64684