What is the Greatest Common Factor of 56800 and 56820?

Greatest common factor (GCF) of 56800 and 56820 is 20.

GCF(56800,56820) = 20

We will now calculate the prime factors of 56800 and 56820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56800 and 56820.

How to find the GCF of 56800 and 56820?

We will first find the prime factorization of 56800 and 56820. After we will calculate the factors of 56800 and 56820 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 56820

Prime factors of 56820 are 2, 3, 5, 947. Prime factorization of 56820 in exponential form is:

56820 = 2² × 3¹ × 5¹ × 947¹

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 56820

List of positive integer factors of 56820 that divides 56800 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 947, 1894, 2841, 3788, 4735, 5682, 9470, 11364, 14205, 18940, 28410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56800 and 56820. The biggest common factor number is the GCF number.
So the greatest common factor 56800 and 56820 is 20.

Also check out the Least Common Multiple of 56800 and 56820