What is the Greatest Common Factor of 37044 and 37053?

Greatest common factor (GCF) of 37044 and 37053 is 9.

GCF(37044,37053) = 9

We will now calculate the prime factors of 37044 and 37053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37044 and 37053.

How to find the GCF of 37044 and 37053?

We will first find the prime factorization of 37044 and 37053. After we will calculate the factors of 37044 and 37053 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 37053

Prime factors of 37053 are 3, 23, 179. Prime factorization of 37053 in exponential form is:

37053 = 3² × 23¹ × 179¹

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 37053

List of positive integer factors of 37053 that divides 37044 without a remainder.

1, 3, 9, 23, 69, 179, 207, 537, 1611, 4117, 12351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37044 and 37053. The biggest common factor number is the GCF number.
So the greatest common factor 37044 and 37053 is 9.

Also check out the Least Common Multiple of 37044 and 37053