What is the Greatest Common Factor of 54964 and 54973?

Greatest common factor (GCF) of 54964 and 54973 is 1.

GCF(54964,54973) = 1

We will now calculate the prime factors of 54964 and 54973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54964 and 54973.

How to find the GCF of 54964 and 54973?

We will first find the prime factorization of 54964 and 54973. After we will calculate the factors of 54964 and 54973 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 54973

Prime factors of 54973 are 54973. Prime factorization of 54973 in exponential form is:

54973 = 54973¹

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 54973

List of positive integer factors of 54973 that divides 54964 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54964 and 54973. The biggest common factor number is the GCF number.
So the greatest common factor 54964 and 54973 is 1.

Also check out the Least Common Multiple of 54964 and 54973