What is the Greatest Common Factor of 56628 and 56639?

Greatest common factor (GCF) of 56628 and 56639 is 11.

GCF(56628,56639) = 11

We will now calculate the prime factors of 56628 and 56639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56628 and 56639.

How to find the GCF of 56628 and 56639?

We will first find the prime factorization of 56628 and 56639. After we will calculate the factors of 56628 and 56639 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56639

Prime factors of 56639 are 11, 19, 271. Prime factorization of 56639 in exponential form is:

56639 = 11¹ × 19¹ × 271¹

Step-3: Factors of 56628

List of positive integer factors of 56628 that divides 56628 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

Step-4: Factors of 56639

List of positive integer factors of 56639 that divides 56628 without a remainder.

1, 11, 19, 209, 271, 2981, 5149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56628 and 56639. The biggest common factor number is the GCF number.
So the greatest common factor 56628 and 56639 is 11.

Also check out the Least Common Multiple of 56628 and 56639