What is the Greatest Common Factor of 56832 and 56844?

Greatest common factor (GCF) of 56832 and 56844 is 12.

GCF(56832,56844) = 12

We will now calculate the prime factors of 56832 and 56844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56832 and 56844.

How to find the GCF of 56832 and 56844?

We will first find the prime factorization of 56832 and 56844. After we will calculate the factors of 56832 and 56844 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56844

Prime factors of 56844 are 2, 3, 1579. Prime factorization of 56844 in exponential form is:

56844 = 2² × 3² × 1579¹

Step-3: Factors of 56832

List of positive integer factors of 56832 that divides 56832 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

Step-4: Factors of 56844

List of positive integer factors of 56844 that divides 56832 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1579, 3158, 4737, 6316, 9474, 14211, 18948, 28422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56832 and 56844. The biggest common factor number is the GCF number.
So the greatest common factor 56832 and 56844 is 12.

Also check out the Least Common Multiple of 56832 and 56844