What is the Greatest Common Factor of 56832 and 56842?

Greatest common factor (GCF) of 56832 and 56842 is 2.

GCF(56832,56842) = 2

We will now calculate the prime factors of 56832 and 56842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56832 and 56842.

How to find the GCF of 56832 and 56842?

We will first find the prime factorization of 56832 and 56842. After we will calculate the factors of 56832 and 56842 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 56842

Prime factors of 56842 are 2, 97, 293. Prime factorization of 56842 in exponential form is:

56842 = 2¹ × 97¹ × 293¹

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 56842

List of positive integer factors of 56842 that divides 56832 without a remainder.

1, 2, 97, 194, 293, 586, 28421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56832 and 56842. The biggest common factor number is the GCF number.
So the greatest common factor 56832 and 56842 is 2.

Also check out the Least Common Multiple of 56832 and 56842