What is the Greatest Common Factor of 54704 and 54724?

Greatest common factor (GCF) of 54704 and 54724 is 4.

GCF(54704,54724) = 4

We will now calculate the prime factors of 54704 and 54724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54704 and 54724.

How to find the GCF of 54704 and 54724?

We will first find the prime factorization of 54704 and 54724. After we will calculate the factors of 54704 and 54724 and find the biggest common factor number .

Step-1: Prime Factorization of 54704

Prime factors of 54704 are 2, 13, 263. Prime factorization of 54704 in exponential form is:

54704 = 2⁴ × 13¹ × 263¹

Step-2: Prime Factorization of 54724

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

54724 = 2² × 13681¹

Step-3: Factors of 54704

List of positive integer factors of 54704 that divides 54704 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 263, 526, 1052, 2104, 3419, 4208, 6838, 13676, 27352

Step-4: Factors of 54724

List of positive integer factors of 54724 that divides 54704 without a remainder.

1, 2, 4, 13681, 27362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54704 and 54724. The biggest common factor number is the GCF number.
So the greatest common factor 54704 and 54724 is 4.

Also check out the Least Common Multiple of 54704 and 54724