What is the Greatest Common Factor of 64660 and 64675?

Greatest common factor (GCF) of 64660 and 64675 is 5.

GCF(64660,64675) = 5

We will now calculate the prime factors of 64660 and 64675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64660 and 64675.

How to find the GCF of 64660 and 64675?

We will first find the prime factorization of 64660 and 64675. After we will calculate the factors of 64660 and 64675 and find the biggest common factor number .

Step-1: Prime Factorization of 64660

Prime factors of 64660 are 2, 5, 53, 61. Prime factorization of 64660 in exponential form is:

64660 = 2² × 5¹ × 53¹ × 61¹

Step-2: 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-3: Factors of 64660

List of positive integer factors of 64660 that divides 64660 without a remainder.

1, 2, 4, 5, 10, 20, 53, 61, 106, 122, 212, 244, 265, 305, 530, 610, 1060, 1220, 3233, 6466, 12932, 16165, 32330

Step-4: Factors of 64675

List of positive integer factors of 64675 that divides 64660 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64660 and 64675. The biggest common factor number is the GCF number.
So the greatest common factor 64660 and 64675 is 5.

Also check out the Least Common Multiple of 64660 and 64675