What is the Greatest Common Factor of 10624 and 10628?

Greatest common factor (GCF) of 10624 and 10628 is 4.

GCF(10624,10628) = 4

We will now calculate the prime factors of 10624 and 10628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10624 and 10628.

How to find the GCF of 10624 and 10628?

We will first find the prime factorization of 10624 and 10628. After we will calculate the factors of 10624 and 10628 and find the biggest common factor number .

Step-1: Prime Factorization of 10624

Prime factors of 10624 are 2, 83. Prime factorization of 10624 in exponential form is:

10624 = 2⁷ × 83¹

Step-2: Prime Factorization of 10628

Prime factors of 10628 are 2, 2657. Prime factorization of 10628 in exponential form is:

10628 = 2² × 2657¹

Step-3: Factors of 10624

List of positive integer factors of 10624 that divides 10624 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 332, 664, 1328, 2656, 5312

Step-4: Factors of 10628

List of positive integer factors of 10628 that divides 10624 without a remainder.

1, 2, 4, 2657, 5314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10624 and 10628. The biggest common factor number is the GCF number.
So the greatest common factor 10624 and 10628 is 4.

Also check out the Least Common Multiple of 10624 and 10628