What is the Greatest Common Factor of 37344 and 37356?

Greatest common factor (GCF) of 37344 and 37356 is 12.

GCF(37344,37356) = 12

We will now calculate the prime factors of 37344 and 37356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37344 and 37356.

How to find the GCF of 37344 and 37356?

We will first find the prime factorization of 37344 and 37356. After we will calculate the factors of 37344 and 37356 and find the biggest common factor number .

Step-1: Prime Factorization of 37344

Prime factors of 37344 are 2, 3, 389. Prime factorization of 37344 in exponential form is:

37344 = 2⁵ × 3¹ × 389¹

Step-2: Prime Factorization of 37356

Prime factors of 37356 are 2, 3, 11, 283. Prime factorization of 37356 in exponential form is:

37356 = 2² × 3¹ × 11¹ × 283¹

Step-3: Factors of 37344

List of positive integer factors of 37344 that divides 37344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 389, 778, 1167, 1556, 2334, 3112, 4668, 6224, 9336, 12448, 18672

Step-4: Factors of 37356

List of positive integer factors of 37356 that divides 37344 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 283, 566, 849, 1132, 1698, 3113, 3396, 6226, 9339, 12452, 18678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37344 and 37356. The biggest common factor number is the GCF number.
So the greatest common factor 37344 and 37356 is 12.

Also check out the Least Common Multiple of 37344 and 37356