What is the Greatest Common Factor of 64634 and 64652?

Greatest common factor (GCF) of 64634 and 64652 is 2.

GCF(64634,64652) = 2

We will now calculate the prime factors of 64634 and 64652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64634 and 64652.

How to find the GCF of 64634 and 64652?

We will first find the prime factorization of 64634 and 64652. After we will calculate the factors of 64634 and 64652 and find the biggest common factor number .

Step-1: Prime Factorization of 64634

Prime factors of 64634 are 2, 17, 1901. Prime factorization of 64634 in exponential form is:

64634 = 2¹ × 17¹ × 1901¹

Step-2: Prime Factorization of 64652

Prime factors of 64652 are 2, 7, 2309. Prime factorization of 64652 in exponential form is:

64652 = 2² × 7¹ × 2309¹

Step-3: Factors of 64634

List of positive integer factors of 64634 that divides 64634 without a remainder.

1, 2, 17, 34, 1901, 3802, 32317

Step-4: Factors of 64652

List of positive integer factors of 64652 that divides 64634 without a remainder.

1, 2, 4, 7, 14, 28, 2309, 4618, 9236, 16163, 32326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64634 and 64652. The biggest common factor number is the GCF number.
So the greatest common factor 64634 and 64652 is 2.

Also check out the Least Common Multiple of 64634 and 64652