What is the Greatest Common Factor of 56832 and 56852?

Greatest common factor (GCF) of 56832 and 56852 is 4.

GCF(56832,56852) = 4

We will now calculate the prime factors of 56832 and 56852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56832 and 56852.

How to find the GCF of 56832 and 56852?

We will first find the prime factorization of 56832 and 56852. After we will calculate the factors of 56832 and 56852 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 56852

Prime factors of 56852 are 2, 61, 233. Prime factorization of 56852 in exponential form is:

56852 = 2² × 61¹ × 233¹

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 56852

List of positive integer factors of 56852 that divides 56832 without a remainder.

1, 2, 4, 61, 122, 233, 244, 466, 932, 14213, 28426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56832 and 56852. The biggest common factor number is the GCF number.
So the greatest common factor 56832 and 56852 is 4.

Also check out the Least Common Multiple of 56832 and 56852