What is the Greatest Common Factor of 56800 and 56815?

Greatest common factor (GCF) of 56800 and 56815 is 5.

GCF(56800,56815) = 5

We will now calculate the prime factors of 56800 and 56815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56800 and 56815.

How to find the GCF of 56800 and 56815?

We will first find the prime factorization of 56800 and 56815. After we will calculate the factors of 56800 and 56815 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 56815

Prime factors of 56815 are 5, 11, 1033. Prime factorization of 56815 in exponential form is:

56815 = 5¹ × 11¹ × 1033¹

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 56815

List of positive integer factors of 56815 that divides 56800 without a remainder.

1, 5, 11, 55, 1033, 5165, 11363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56800 and 56815. The biggest common factor number is the GCF number.
So the greatest common factor 56800 and 56815 is 5.

Also check out the Least Common Multiple of 56800 and 56815