What is the Greatest Common Factor of 56820 and 56832?

Greatest common factor (GCF) of 56820 and 56832 is 12.

GCF(56820,56832) = 12

We will now calculate the prime factors of 56820 and 56832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56820 and 56832.

How to find the GCF of 56820 and 56832?

We will first find the prime factorization of 56820 and 56832. After we will calculate the factors of 56820 and 56832 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56832

Prime factors of 56832 are 2, 3, 37. Prime factorization of 56832 in exponential form is:

56832 = 2⁹ × 3¹ × 37¹

Step-3: Factors of 56820

List of positive integer factors of 56820 that divides 56820 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

Step-4: Factors of 56832

List of positive integer factors of 56832 that divides 56820 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 128, 148, 192, 222, 256, 296, 384, 444, 512, 592, 768, 888, 1184, 1536, 1776, 2368, 3552, 4736, 7104, 9472, 14208, 18944, 28416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56820 and 56832. The biggest common factor number is the GCF number.
So the greatest common factor 56820 and 56832 is 12.

Also check out the Least Common Multiple of 56820 and 56832