What is the Greatest Common Factor of 54925 and 54938?

Greatest common factor (GCF) of 54925 and 54938 is 13.

GCF(54925,54938) = 13

We will now calculate the prime factors of 54925 and 54938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54925 and 54938.

How to find the GCF of 54925 and 54938?

We will first find the prime factorization of 54925 and 54938. After we will calculate the factors of 54925 and 54938 and find the biggest common factor number .

Step-1: Prime Factorization of 54925

Prime factors of 54925 are 5, 13. Prime factorization of 54925 in exponential form is:

54925 = 5² × 13³

Step-2: Prime Factorization of 54938

Prime factors of 54938 are 2, 13, 2113. Prime factorization of 54938 in exponential form is:

54938 = 2¹ × 13¹ × 2113¹

Step-3: Factors of 54925

List of positive integer factors of 54925 that divides 54925 without a remainder.

1, 5, 13, 25, 65, 169, 325, 845, 2197, 4225, 10985

Step-4: Factors of 54938

List of positive integer factors of 54938 that divides 54925 without a remainder.

1, 2, 13, 26, 2113, 4226, 27469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54925 and 54938. The biggest common factor number is the GCF number.
So the greatest common factor 54925 and 54938 is 13.

Also check out the Least Common Multiple of 54925 and 54938