What is the Greatest Common Factor of 54964 and 54983?

Greatest common factor (GCF) of 54964 and 54983 is 1.

GCF(54964,54983) = 1

We will now calculate the prime factors of 54964 and 54983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54964 and 54983.

How to find the GCF of 54964 and 54983?

We will first find the prime factorization of 54964 and 54983. After we will calculate the factors of 54964 and 54983 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 54983

Prime factors of 54983 are 54983. Prime factorization of 54983 in exponential form is:

54983 = 54983¹

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 54983

List of positive integer factors of 54983 that divides 54964 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54964 and 54983. The biggest common factor number is the GCF number.
So the greatest common factor 54964 and 54983 is 1.

Also check out the Least Common Multiple of 54964 and 54983