What is the Greatest Common Factor of 56280 and 56300?

Greatest common factor (GCF) of 56280 and 56300 is 20.

GCF(56280,56300) = 20

We will now calculate the prime factors of 56280 and 56300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56280 and 56300.

How to find the GCF of 56280 and 56300?

We will first find the prime factorization of 56280 and 56300. After we will calculate the factors of 56280 and 56300 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56300

Prime factors of 56300 are 2, 5, 563. Prime factorization of 56300 in exponential form is:

56300 = 2² × 5² × 563¹

Step-3: Factors of 56280

List of positive integer factors of 56280 that divides 56280 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

Step-4: Factors of 56300

List of positive integer factors of 56300 that divides 56280 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 563, 1126, 2252, 2815, 5630, 11260, 14075, 28150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56280 and 56300. The biggest common factor number is the GCF number.
So the greatest common factor 56280 and 56300 is 20.

Also check out the Least Common Multiple of 56280 and 56300