What is the Greatest Common Factor of 56724 and 56732?

Greatest common factor (GCF) of 56724 and 56732 is 4.

GCF(56724,56732) = 4

We will now calculate the prime factors of 56724 and 56732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56724 and 56732.

How to find the GCF of 56724 and 56732?

We will first find the prime factorization of 56724 and 56732. After we will calculate the factors of 56724 and 56732 and find the biggest common factor number .

Step-1: Prime Factorization of 56724

Prime factors of 56724 are 2, 3, 29, 163. Prime factorization of 56724 in exponential form is:

56724 = 2² × 3¹ × 29¹ × 163¹

Step-2: Prime Factorization of 56732

Prime factors of 56732 are 2, 13, 1091. Prime factorization of 56732 in exponential form is:

56732 = 2² × 13¹ × 1091¹

Step-3: Factors of 56724

List of positive integer factors of 56724 that divides 56724 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 163, 174, 326, 348, 489, 652, 978, 1956, 4727, 9454, 14181, 18908, 28362

Step-4: Factors of 56732

List of positive integer factors of 56732 that divides 56724 without a remainder.

1, 2, 4, 13, 26, 52, 1091, 2182, 4364, 14183, 28366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56724 and 56732. The biggest common factor number is the GCF number.
So the greatest common factor 56724 and 56732 is 4.

Also check out the Least Common Multiple of 56724 and 56732