What is the Greatest Common Factor of 15925 and 15938?

Greatest common factor (GCF) of 15925 and 15938 is 13.

GCF(15925,15938) = 13

We will now calculate the prime factors of 15925 and 15938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15925 and 15938.

How to find the GCF of 15925 and 15938?

We will first find the prime factorization of 15925 and 15938. After we will calculate the factors of 15925 and 15938 and find the biggest common factor number .

Step-1: Prime Factorization of 15925

Prime factors of 15925 are 5, 7, 13. Prime factorization of 15925 in exponential form is:

15925 = 5² × 7² × 13¹

Step-2: Prime Factorization of 15938

Prime factors of 15938 are 2, 13, 613. Prime factorization of 15938 in exponential form is:

15938 = 2¹ × 13¹ × 613¹

Step-3: Factors of 15925

List of positive integer factors of 15925 that divides 15925 without a remainder.

1, 5, 7, 13, 25, 35, 49, 65, 91, 175, 245, 325, 455, 637, 1225, 2275, 3185

Step-4: Factors of 15938

List of positive integer factors of 15938 that divides 15925 without a remainder.

1, 2, 13, 26, 613, 1226, 7969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15925 and 15938. The biggest common factor number is the GCF number.
So the greatest common factor 15925 and 15938 is 13.

Also check out the Least Common Multiple of 15925 and 15938