What is the Greatest Common Factor of 15925 and 15945?

Greatest common factor (GCF) of 15925 and 15945 is 5.

GCF(15925,15945) = 5

We will now calculate the prime factors of 15925 and 15945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15925 and 15945.

How to find the GCF of 15925 and 15945?

We will first find the prime factorization of 15925 and 15945. After we will calculate the factors of 15925 and 15945 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 15945

Prime factors of 15945 are 3, 5, 1063. Prime factorization of 15945 in exponential form is:

15945 = 3¹ × 5¹ × 1063¹

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 15945

List of positive integer factors of 15945 that divides 15925 without a remainder.

1, 3, 5, 15, 1063, 3189, 5315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15925 and 15945. The biggest common factor number is the GCF number.
So the greatest common factor 15925 and 15945 is 5.

Also check out the Least Common Multiple of 15925 and 15945