What is the Greatest Common Factor of 56280 and 56290?

Greatest common factor (GCF) of 56280 and 56290 is 10.

GCF(56280,56290) = 10

We will now calculate the prime factors of 56280 and 56290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56280 and 56290.

How to find the GCF of 56280 and 56290?

We will first find the prime factorization of 56280 and 56290. After we will calculate the factors of 56280 and 56290 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 56290

Prime factors of 56290 are 2, 5, 13, 433. Prime factorization of 56290 in exponential form is:

56290 = 2¹ × 5¹ × 13¹ × 433¹

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 56290

List of positive integer factors of 56290 that divides 56280 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 433, 866, 2165, 4330, 5629, 11258, 28145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56280 and 56290. The biggest common factor number is the GCF number.
So the greatest common factor 56280 and 56290 is 10.

Also check out the Least Common Multiple of 56280 and 56290