What is the Greatest Common Factor of 56274 and 56280?

Greatest common factor (GCF) of 56274 and 56280 is 6.

GCF(56274,56280) = 6

We will now calculate the prime factors of 56274 and 56280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56274 and 56280.

How to find the GCF of 56274 and 56280?

We will first find the prime factorization of 56274 and 56280. After we will calculate the factors of 56274 and 56280 and find the biggest common factor number .

Step-1: Prime Factorization of 56274

Prime factors of 56274 are 2, 3, 83, 113. Prime factorization of 56274 in exponential form is:

56274 = 2¹ × 3¹ × 83¹ × 113¹

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 56274

List of positive integer factors of 56274 that divides 56274 without a remainder.

1, 2, 3, 6, 83, 113, 166, 226, 249, 339, 498, 678, 9379, 18758, 28137

Step-4: Factors of 56280

List of positive integer factors of 56280 that divides 56274 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 56274 and 56280. The biggest common factor number is the GCF number.
So the greatest common factor 56274 and 56280 is 6.

Also check out the Least Common Multiple of 56274 and 56280