What is the Greatest Common Factor of 37656 and 37668?

Greatest common factor (GCF) of 37656 and 37668 is 12.

GCF(37656,37668) = 12

We will now calculate the prime factors of 37656 and 37668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37656 and 37668.

How to find the GCF of 37656 and 37668?

We will first find the prime factorization of 37656 and 37668. After we will calculate the factors of 37656 and 37668 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 37668

Prime factors of 37668 are 2, 3, 43, 73. Prime factorization of 37668 in exponential form is:

37668 = 2² × 3¹ × 43¹ × 73¹

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 37668

List of positive integer factors of 37668 that divides 37656 without a remainder.

1, 2, 3, 4, 6, 12, 43, 73, 86, 129, 146, 172, 219, 258, 292, 438, 516, 876, 3139, 6278, 9417, 12556, 18834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37656 and 37668. The biggest common factor number is the GCF number.
So the greatest common factor 37656 and 37668 is 12.

Also check out the Least Common Multiple of 37656 and 37668