What is the Greatest Common Factor of 54724 and 54732?

Greatest common factor (GCF) of 54724 and 54732 is 4.

GCF(54724,54732) = 4

We will now calculate the prime factors of 54724 and 54732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54724 and 54732.

How to find the GCF of 54724 and 54732?

We will first find the prime factorization of 54724 and 54732. After we will calculate the factors of 54724 and 54732 and find the biggest common factor number .

Step-1: Prime Factorization of 54724

Prime factors of 54724 are 2, 13681. Prime factorization of 54724 in exponential form is:

54724 = 2² × 13681¹

Step-2: Prime Factorization of 54732

Prime factors of 54732 are 2, 3, 4561. Prime factorization of 54732 in exponential form is:

54732 = 2² × 3¹ × 4561¹

Step-3: Factors of 54724

List of positive integer factors of 54724 that divides 54724 without a remainder.

1, 2, 4, 13681, 27362

Step-4: Factors of 54732

List of positive integer factors of 54732 that divides 54724 without a remainder.

1, 2, 3, 4, 6, 12, 4561, 9122, 13683, 18244, 27366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54724 and 54732. The biggest common factor number is the GCF number.
So the greatest common factor 54724 and 54732 is 4.

Also check out the Least Common Multiple of 54724 and 54732