What is the Greatest Common Factor of 37656 and 37665?

Greatest common factor (GCF) of 37656 and 37665 is 9.

GCF(37656,37665) = 9

We will now calculate the prime factors of 37656 and 37665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37656 and 37665.

How to find the GCF of 37656 and 37665?

We will first find the prime factorization of 37656 and 37665. After we will calculate the factors of 37656 and 37665 and find the biggest common factor number .

Step-1: Prime Factorization of 37656

Prime factors of 37656 are 2, 3, 523. Prime factorization of 37656 in exponential form is:

37656 = 2³ × 3² × 523¹

Step-2: Prime Factorization of 37665

Prime factors of 37665 are 3, 5, 31. Prime factorization of 37665 in exponential form is:

37665 = 3⁵ × 5¹ × 31¹

Step-3: Factors of 37656

List of positive integer factors of 37656 that divides 37656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 523, 1046, 1569, 2092, 3138, 4184, 4707, 6276, 9414, 12552, 18828

Step-4: Factors of 37665

List of positive integer factors of 37665 that divides 37656 without a remainder.

1, 3, 5, 9, 15, 27, 31, 45, 81, 93, 135, 155, 243, 279, 405, 465, 837, 1215, 1395, 2511, 4185, 7533, 12555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37656 and 37665. The biggest common factor number is the GCF number.
So the greatest common factor 37656 and 37665 is 9.

Also check out the Least Common Multiple of 37656 and 37665