What is the Greatest Common Factor of 56814 and 56832?

Greatest common factor (GCF) of 56814 and 56832 is 6.

GCF(56814,56832) = 6

We will now calculate the prime factors of 56814 and 56832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56814 and 56832.

How to find the GCF of 56814 and 56832?

We will first find the prime factorization of 56814 and 56832. After we will calculate the factors of 56814 and 56832 and find the biggest common factor number .

Step-1: Prime Factorization of 56814

Prime factors of 56814 are 2, 3, 17, 557. Prime factorization of 56814 in exponential form is:

56814 = 2¹ × 3¹ × 17¹ × 557¹

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 56814

List of positive integer factors of 56814 that divides 56814 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 557, 1114, 1671, 3342, 9469, 18938, 28407

Step-4: Factors of 56832

List of positive integer factors of 56832 that divides 56814 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 56814 and 56832. The biggest common factor number is the GCF number.
So the greatest common factor 56814 and 56832 is 6.

Also check out the Least Common Multiple of 56814 and 56832