What is the Greatest Common Factor of 31538 and 31551?

Greatest common factor (GCF) of 31538 and 31551 is 13.

GCF(31538,31551) = 13

We will now calculate the prime factors of 31538 and 31551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31538 and 31551.

How to find the GCF of 31538 and 31551?

We will first find the prime factorization of 31538 and 31551. After we will calculate the factors of 31538 and 31551 and find the biggest common factor number .

Step-1: Prime Factorization of 31538

Prime factors of 31538 are 2, 13, 1213. Prime factorization of 31538 in exponential form is:

31538 = 2¹ × 13¹ × 1213¹

Step-2: Prime Factorization of 31551

Prime factors of 31551 are 3, 13, 809. Prime factorization of 31551 in exponential form is:

31551 = 3¹ × 13¹ × 809¹

Step-3: Factors of 31538

List of positive integer factors of 31538 that divides 31538 without a remainder.

1, 2, 13, 26, 1213, 2426, 15769

Step-4: Factors of 31551

List of positive integer factors of 31551 that divides 31538 without a remainder.

1, 3, 13, 39, 809, 2427, 10517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31538 and 31551. The biggest common factor number is the GCF number.
So the greatest common factor 31538 and 31551 is 13.

Also check out the Least Common Multiple of 31538 and 31551