What is the Greatest Common Factor of 37518 and 37531?

Greatest common factor (GCF) of 37518 and 37531 is 13.

GCF(37518,37531) = 13

We will now calculate the prime factors of 37518 and 37531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37518 and 37531.

How to find the GCF of 37518 and 37531?

We will first find the prime factorization of 37518 and 37531. After we will calculate the factors of 37518 and 37531 and find the biggest common factor number .

Step-1: Prime Factorization of 37518

Prime factors of 37518 are 2, 3, 13, 37. Prime factorization of 37518 in exponential form is:

37518 = 2¹ × 3¹ × 13² × 37¹

Step-2: Prime Factorization of 37531

Prime factors of 37531 are 13, 2887. Prime factorization of 37531 in exponential form is:

37531 = 13¹ × 2887¹

Step-3: Factors of 37518

List of positive integer factors of 37518 that divides 37518 without a remainder.

1, 2, 3, 6, 13, 26, 37, 39, 74, 78, 111, 169, 222, 338, 481, 507, 962, 1014, 1443, 2886, 6253, 12506, 18759

Step-4: Factors of 37531

List of positive integer factors of 37531 that divides 37518 without a remainder.

1, 13, 2887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37518 and 37531. The biggest common factor number is the GCF number.
So the greatest common factor 37518 and 37531 is 13.

Also check out the Least Common Multiple of 37518 and 37531