What is the Greatest Common Factor of 56628 and 56642?

Greatest common factor (GCF) of 56628 and 56642 is 2.

GCF(56628,56642) = 2

We will now calculate the prime factors of 56628 and 56642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56628 and 56642.

How to find the GCF of 56628 and 56642?

We will first find the prime factorization of 56628 and 56642. After we will calculate the factors of 56628 and 56642 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 56642

Prime factors of 56642 are 2, 127, 223. Prime factorization of 56642 in exponential form is:

56642 = 2¹ × 127¹ × 223¹

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 56642

List of positive integer factors of 56642 that divides 56628 without a remainder.

1, 2, 127, 223, 254, 446, 28321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56628 and 56642. The biggest common factor number is the GCF number.
So the greatest common factor 56628 and 56642 is 2.

Also check out the Least Common Multiple of 56628 and 56642