What is the Greatest Common Factor of 31915 and 31928?

Greatest common factor (GCF) of 31915 and 31928 is 13.

GCF(31915,31928) = 13

We will now calculate the prime factors of 31915 and 31928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31915 and 31928.

How to find the GCF of 31915 and 31928?

We will first find the prime factorization of 31915 and 31928. After we will calculate the factors of 31915 and 31928 and find the biggest common factor number .

Step-1: Prime Factorization of 31915

Prime factors of 31915 are 5, 13, 491. Prime factorization of 31915 in exponential form is:

31915 = 5¹ × 13¹ × 491¹

Step-2: Prime Factorization of 31928

Prime factors of 31928 are 2, 13, 307. Prime factorization of 31928 in exponential form is:

31928 = 2³ × 13¹ × 307¹

Step-3: Factors of 31915

List of positive integer factors of 31915 that divides 31915 without a remainder.

1, 5, 13, 65, 491, 2455, 6383

Step-4: Factors of 31928

List of positive integer factors of 31928 that divides 31915 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 307, 614, 1228, 2456, 3991, 7982, 15964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31915 and 31928. The biggest common factor number is the GCF number.
So the greatest common factor 31915 and 31928 is 13.

Also check out the Least Common Multiple of 31915 and 31928