What is the Greatest Common Factor of 37044 and 37056?

Greatest common factor (GCF) of 37044 and 37056 is 12.

GCF(37044,37056) = 12

We will now calculate the prime factors of 37044 and 37056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37044 and 37056.

How to find the GCF of 37044 and 37056?

We will first find the prime factorization of 37044 and 37056. After we will calculate the factors of 37044 and 37056 and find the biggest common factor number .

Step-1: Prime Factorization of 37044

Prime factors of 37044 are 2, 3, 7. Prime factorization of 37044 in exponential form is:

37044 = 2² × 3³ × 7³

Step-2: Prime Factorization of 37056

Prime factors of 37056 are 2, 3, 193. Prime factorization of 37056 in exponential form is:

37056 = 2⁶ × 3¹ × 193¹

Step-3: Factors of 37044

List of positive integer factors of 37044 that divides 37044 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 343, 378, 441, 588, 686, 756, 882, 1029, 1323, 1372, 1764, 2058, 2646, 3087, 4116, 5292, 6174, 9261, 12348, 18522

Step-4: Factors of 37056

List of positive integer factors of 37056 that divides 37044 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 6176, 9264, 12352, 18528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37044 and 37056. The biggest common factor number is the GCF number.
So the greatest common factor 37044 and 37056 is 12.

Also check out the Least Common Multiple of 37044 and 37056