What is the Greatest Common Factor of 56268 and 56280?

Greatest common factor (GCF) of 56268 and 56280 is 12.

GCF(56268,56280) = 12

We will now calculate the prime factors of 56268 and 56280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56268 and 56280.

How to find the GCF of 56268 and 56280?

We will first find the prime factorization of 56268 and 56280. After we will calculate the factors of 56268 and 56280 and find the biggest common factor number .

Step-1: Prime Factorization of 56268

Prime factors of 56268 are 2, 3, 521. Prime factorization of 56268 in exponential form is:

56268 = 2² × 3³ × 521¹

Step-2: Prime Factorization of 56280

Prime factors of 56280 are 2, 3, 5, 7, 67. Prime factorization of 56280 in exponential form is:

56280 = 2³ × 3¹ × 5¹ × 7¹ × 67¹

Step-3: Factors of 56268

List of positive integer factors of 56268 that divides 56268 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 521, 1042, 1563, 2084, 3126, 4689, 6252, 9378, 14067, 18756, 28134

Step-4: Factors of 56280

List of positive integer factors of 56280 that divides 56268 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 67, 70, 84, 105, 120, 134, 140, 168, 201, 210, 268, 280, 335, 402, 420, 469, 536, 670, 804, 840, 938, 1005, 1340, 1407, 1608, 1876, 2010, 2345, 2680, 2814, 3752, 4020, 4690, 5628, 7035, 8040, 9380, 11256, 14070, 18760, 28140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56268 and 56280. The biggest common factor number is the GCF number.
So the greatest common factor 56268 and 56280 is 12.

Also check out the Least Common Multiple of 56268 and 56280