What is the Greatest Common Factor of 64624 and 64644?

Greatest common factor (GCF) of 64624 and 64644 is 4.

GCF(64624,64644) = 4

We will now calculate the prime factors of 64624 and 64644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64624 and 64644.

How to find the GCF of 64624 and 64644?

We will first find the prime factorization of 64624 and 64644. After we will calculate the factors of 64624 and 64644 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 64644

Prime factors of 64644 are 2, 3, 5387. Prime factorization of 64644 in exponential form is:

64644 = 2² × 3¹ × 5387¹

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 64644

List of positive integer factors of 64644 that divides 64624 without a remainder.

1, 2, 3, 4, 6, 12, 5387, 10774, 16161, 21548, 32322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64624 and 64644. The biggest common factor number is the GCF number.
So the greatest common factor 64624 and 64644 is 4.

Also check out the Least Common Multiple of 64624 and 64644