What is the Greatest Common Factor of 56800 and 56810?

Greatest common factor (GCF) of 56800 and 56810 is 10.

GCF(56800,56810) = 10

We will now calculate the prime factors of 56800 and 56810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56800 and 56810.

How to find the GCF of 56800 and 56810?

We will first find the prime factorization of 56800 and 56810. After we will calculate the factors of 56800 and 56810 and find the biggest common factor number .

Step-1: Prime Factorization of 56800

Prime factors of 56800 are 2, 5, 71. Prime factorization of 56800 in exponential form is:

56800 = 2⁵ × 5² × 71¹

Step-2: Prime Factorization of 56810

Prime factors of 56810 are 2, 5, 13, 19, 23. Prime factorization of 56810 in exponential form is:

56810 = 2¹ × 5¹ × 13¹ × 19¹ × 23¹

Step-3: Factors of 56800

List of positive integer factors of 56800 that divides 56800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 71, 80, 100, 142, 160, 200, 284, 355, 400, 568, 710, 800, 1136, 1420, 1775, 2272, 2840, 3550, 5680, 7100, 11360, 14200, 28400

Step-4: Factors of 56810

List of positive integer factors of 56810 that divides 56800 without a remainder.

1, 2, 5, 10, 13, 19, 23, 26, 38, 46, 65, 95, 115, 130, 190, 230, 247, 299, 437, 494, 598, 874, 1235, 1495, 2185, 2470, 2990, 4370, 5681, 11362, 28405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56800 and 56810. The biggest common factor number is the GCF number.
So the greatest common factor 56800 and 56810 is 10.

Also check out the Least Common Multiple of 56800 and 56810