What is the Greatest Common Factor of 54916 and 54934?

Greatest common factor (GCF) of 54916 and 54934 is 2.

GCF(54916,54934) = 2

We will now calculate the prime factors of 54916 and 54934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54916 and 54934.

How to find the GCF of 54916 and 54934?

We will first find the prime factorization of 54916 and 54934. After we will calculate the factors of 54916 and 54934 and find the biggest common factor number .

Step-1: Prime Factorization of 54916

Prime factors of 54916 are 2, 13729. Prime factorization of 54916 in exponential form is:

54916 = 2² × 13729¹

Step-2: Prime Factorization of 54934

Prime factors of 54934 are 2, 11, 227. Prime factorization of 54934 in exponential form is:

54934 = 2¹ × 11² × 227¹

Step-3: Factors of 54916

List of positive integer factors of 54916 that divides 54916 without a remainder.

1, 2, 4, 13729, 27458

Step-4: Factors of 54934

List of positive integer factors of 54934 that divides 54916 without a remainder.

1, 2, 11, 22, 121, 227, 242, 454, 2497, 4994, 27467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54916 and 54934. The biggest common factor number is the GCF number.
So the greatest common factor 54916 and 54934 is 2.

Also check out the Least Common Multiple of 54916 and 54934