What is the Greatest Common Factor of 31538 and 31557?

Greatest common factor (GCF) of 31538 and 31557 is 1.

GCF(31538,31557) = 1

We will now calculate the prime factors of 31538 and 31557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31538 and 31557.

How to find the GCF of 31538 and 31557?

We will first find the prime factorization of 31538 and 31557. After we will calculate the factors of 31538 and 31557 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 31557

Prime factors of 31557 are 3, 67, 157. Prime factorization of 31557 in exponential form is:

31557 = 3¹ × 67¹ × 157¹

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 31557

List of positive integer factors of 31557 that divides 31538 without a remainder.

1, 3, 67, 157, 201, 471, 10519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31538 and 31557. The biggest common factor number is the GCF number.
So the greatest common factor 31538 and 31557 is 1.

Also check out the Least Common Multiple of 31538 and 31557