What is the Greatest Common Factor of 37636 and 37656?

Greatest common factor (GCF) of 37636 and 37656 is 4.

GCF(37636,37656) = 4

We will now calculate the prime factors of 37636 and 37656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37636 and 37656.

How to find the GCF of 37636 and 37656?

We will first find the prime factorization of 37636 and 37656. After we will calculate the factors of 37636 and 37656 and find the biggest common factor number .

Step-1: Prime Factorization of 37636

Prime factors of 37636 are 2, 97. Prime factorization of 37636 in exponential form is:

37636 = 2² × 97²

Step-2: 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-3: Factors of 37636

List of positive integer factors of 37636 that divides 37636 without a remainder.

1, 2, 4, 97, 194, 388, 9409, 18818

Step-4: Factors of 37656

List of positive integer factors of 37656 that divides 37636 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37636 and 37656. The biggest common factor number is the GCF number.
So the greatest common factor 37636 and 37656 is 4.

Also check out the Least Common Multiple of 37636 and 37656