What is the Greatest Common Factor of 56832 and 56850?

Greatest common factor (GCF) of 56832 and 56850 is 6.

GCF(56832,56850) = 6

We will now calculate the prime factors of 56832 and 56850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56832 and 56850.

How to find the GCF of 56832 and 56850?

We will first find the prime factorization of 56832 and 56850. After we will calculate the factors of 56832 and 56850 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 56850

Prime factors of 56850 are 2, 3, 5, 379. Prime factorization of 56850 in exponential form is:

56850 = 2¹ × 3¹ × 5² × 379¹

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 56850

List of positive integer factors of 56850 that divides 56832 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 379, 758, 1137, 1895, 2274, 3790, 5685, 9475, 11370, 18950, 28425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56832 and 56850. The biggest common factor number is the GCF number.
So the greatest common factor 56832 and 56850 is 6.

Also check out the Least Common Multiple of 56832 and 56850