What is the Greatest Common Factor of 56624 and 56628?

Greatest common factor (GCF) of 56624 and 56628 is 4.

GCF(56624,56628) = 4

We will now calculate the prime factors of 56624 and 56628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56624 and 56628.

How to find the GCF of 56624 and 56628?

We will first find the prime factorization of 56624 and 56628. After we will calculate the factors of 56624 and 56628 and find the biggest common factor number .

Step-1: Prime Factorization of 56624

Prime factors of 56624 are 2, 3539. Prime factorization of 56624 in exponential form is:

56624 = 2⁴ × 3539¹

Step-2: Prime Factorization of 56628

Prime factors of 56628 are 2, 3, 11, 13. Prime factorization of 56628 in exponential form is:

56628 = 2² × 3² × 11² × 13¹

Step-3: Factors of 56624

List of positive integer factors of 56624 that divides 56624 without a remainder.

1, 2, 4, 8, 16, 3539, 7078, 14156, 28312

Step-4: Factors of 56628

List of positive integer factors of 56628 that divides 56624 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 121, 132, 143, 156, 198, 234, 242, 286, 363, 396, 429, 468, 484, 572, 726, 858, 1089, 1287, 1452, 1573, 1716, 2178, 2574, 3146, 4356, 4719, 5148, 6292, 9438, 14157, 18876, 28314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56624 and 56628. The biggest common factor number is the GCF number.
So the greatest common factor 56624 and 56628 is 4.

Also check out the Least Common Multiple of 56624 and 56628