What is the Greatest Common Factor of 56832 and 56847?

Greatest common factor (GCF) of 56832 and 56847 is 3.

GCF(56832,56847) = 3

We will now calculate the prime factors of 56832 and 56847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56832 and 56847.

How to find the GCF of 56832 and 56847?

We will first find the prime factorization of 56832 and 56847. After we will calculate the factors of 56832 and 56847 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 56847

Prime factors of 56847 are 3, 7, 2707. Prime factorization of 56847 in exponential form is:

56847 = 3¹ × 7¹ × 2707¹

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 56847

List of positive integer factors of 56847 that divides 56832 without a remainder.

1, 3, 7, 21, 2707, 8121, 18949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56832 and 56847. The biggest common factor number is the GCF number.
So the greatest common factor 56832 and 56847 is 3.

Also check out the Least Common Multiple of 56832 and 56847