What is the Greatest Common Factor of 64624 and 64629?

Greatest common factor (GCF) of 64624 and 64629 is 1.

GCF(64624,64629) = 1

We will now calculate the prime factors of 64624 and 64629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64624 and 64629.

How to find the GCF of 64624 and 64629?

We will first find the prime factorization of 64624 and 64629. After we will calculate the factors of 64624 and 64629 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 64629

Prime factors of 64629 are 3, 43, 167. Prime factorization of 64629 in exponential form is:

64629 = 3² × 43¹ × 167¹

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 64629

List of positive integer factors of 64629 that divides 64624 without a remainder.

1, 3, 9, 43, 129, 167, 387, 501, 1503, 7181, 21543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64624 and 64629. The biggest common factor number is the GCF number.
So the greatest common factor 64624 and 64629 is 1.

Also check out the Least Common Multiple of 64624 and 64629