What is the Greatest Common Factor of 54964 and 54977?

Greatest common factor (GCF) of 54964 and 54977 is 13.

GCF(54964,54977) = 13

We will now calculate the prime factors of 54964 and 54977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54964 and 54977.

How to find the GCF of 54964 and 54977?

We will first find the prime factorization of 54964 and 54977. After we will calculate the factors of 54964 and 54977 and find the biggest common factor number .

Step-1: Prime Factorization of 54964

Prime factors of 54964 are 2, 7, 13, 151. Prime factorization of 54964 in exponential form is:

54964 = 2² × 7¹ × 13¹ × 151¹

Step-2: Prime Factorization of 54977

Prime factors of 54977 are 13, 4229. Prime factorization of 54977 in exponential form is:

54977 = 13¹ × 4229¹

Step-3: Factors of 54964

List of positive integer factors of 54964 that divides 54964 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 151, 182, 302, 364, 604, 1057, 1963, 2114, 3926, 4228, 7852, 13741, 27482

Step-4: Factors of 54977

List of positive integer factors of 54977 that divides 54964 without a remainder.

1, 13, 4229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54964 and 54977. The biggest common factor number is the GCF number.
So the greatest common factor 54964 and 54977 is 13.

Also check out the Least Common Multiple of 54964 and 54977