What is the Greatest Common Factor of 37551 and 37557?

Greatest common factor (GCF) of 37551 and 37557 is 3.

GCF(37551,37557) = 3

We will now calculate the prime factors of 37551 and 37557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37551 and 37557.

How to find the GCF of 37551 and 37557?

We will first find the prime factorization of 37551 and 37557. After we will calculate the factors of 37551 and 37557 and find the biggest common factor number .

Step-1: Prime Factorization of 37551

Prime factors of 37551 are 3, 12517. Prime factorization of 37551 in exponential form is:

37551 = 3¹ × 12517¹

Step-2: Prime Factorization of 37557

Prime factors of 37557 are 3, 13, 107. Prime factorization of 37557 in exponential form is:

37557 = 3³ × 13¹ × 107¹

Step-3: Factors of 37551

List of positive integer factors of 37551 that divides 37551 without a remainder.

1, 3, 12517

Step-4: Factors of 37557

List of positive integer factors of 37557 that divides 37551 without a remainder.

1, 3, 9, 13, 27, 39, 107, 117, 321, 351, 963, 1391, 2889, 4173, 12519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37551 and 37557. The biggest common factor number is the GCF number.
So the greatest common factor 37551 and 37557 is 3.

Also check out the Least Common Multiple of 37551 and 37557