What is the Greatest Common Factor of 37026 and 37044?

Greatest common factor (GCF) of 37026 and 37044 is 18.

GCF(37026,37044) = 18

We will now calculate the prime factors of 37026 and 37044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37026 and 37044.

How to find the GCF of 37026 and 37044?

We will first find the prime factorization of 37026 and 37044. After we will calculate the factors of 37026 and 37044 and find the biggest common factor number .

Step-1: Prime Factorization of 37026

Prime factors of 37026 are 2, 3, 11, 17. Prime factorization of 37026 in exponential form is:

37026 = 2¹ × 3² × 11² × 17¹

Step-2: 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-3: Factors of 37026

List of positive integer factors of 37026 that divides 37026 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 121, 153, 187, 198, 242, 306, 363, 374, 561, 726, 1089, 1122, 1683, 2057, 2178, 3366, 4114, 6171, 12342, 18513

Step-4: Factors of 37044

List of positive integer factors of 37044 that divides 37026 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37026 and 37044. The biggest common factor number is the GCF number.
So the greatest common factor 37026 and 37044 is 18.

Also check out the Least Common Multiple of 37026 and 37044