What is the Greatest Common Factor of 56832 and 56840?

Greatest common factor (GCF) of 56832 and 56840 is 8.

GCF(56832,56840) = 8

We will now calculate the prime factors of 56832 and 56840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56832 and 56840.

How to find the GCF of 56832 and 56840?

We will first find the prime factorization of 56832 and 56840. After we will calculate the factors of 56832 and 56840 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 56840

Prime factors of 56840 are 2, 5, 7, 29. Prime factorization of 56840 in exponential form is:

56840 = 2³ × 5¹ × 7² × 29¹

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 56840

List of positive integer factors of 56840 that divides 56832 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 49, 56, 58, 70, 98, 116, 140, 145, 196, 203, 232, 245, 280, 290, 392, 406, 490, 580, 812, 980, 1015, 1160, 1421, 1624, 1960, 2030, 2842, 4060, 5684, 7105, 8120, 11368, 14210, 28420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56832 and 56840. The biggest common factor number is the GCF number.
So the greatest common factor 56832 and 56840 is 8.

Also check out the Least Common Multiple of 56832 and 56840