What is the Greatest Common Factor of 64624 and 64631?

Greatest common factor (GCF) of 64624 and 64631 is 7.

GCF(64624,64631) = 7

We will now calculate the prime factors of 64624 and 64631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64624 and 64631.

How to find the GCF of 64624 and 64631?

We will first find the prime factorization of 64624 and 64631. After we will calculate the factors of 64624 and 64631 and find the biggest common factor number .

Step-1: Prime Factorization of 64624

Prime factors of 64624 are 2, 7, 577. Prime factorization of 64624 in exponential form is:

64624 = 2⁴ × 7¹ × 577¹

Step-2: Prime Factorization of 64631

Prime factors of 64631 are 7, 1319. Prime factorization of 64631 in exponential form is:

64631 = 7² × 1319¹

Step-3: Factors of 64624

List of positive integer factors of 64624 that divides 64624 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 577, 1154, 2308, 4039, 4616, 8078, 9232, 16156, 32312

Step-4: Factors of 64631

List of positive integer factors of 64631 that divides 64624 without a remainder.

1, 7, 49, 1319, 9233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64624 and 64631. The biggest common factor number is the GCF number.
So the greatest common factor 64624 and 64631 is 7.

Also check out the Least Common Multiple of 64624 and 64631