What is the Greatest Common Factor of 37044 and 37054?

Greatest common factor (GCF) of 37044 and 37054 is 2.

GCF(37044,37054) = 2

We will now calculate the prime factors of 37044 and 37054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37044 and 37054.

How to find the GCF of 37044 and 37054?

We will first find the prime factorization of 37044 and 37054. After we will calculate the factors of 37044 and 37054 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 37054

Prime factors of 37054 are 2, 97, 191. Prime factorization of 37054 in exponential form is:

37054 = 2¹ × 97¹ × 191¹

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 37054

List of positive integer factors of 37054 that divides 37044 without a remainder.

1, 2, 97, 191, 194, 382, 18527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37044 and 37054. The biggest common factor number is the GCF number.
So the greatest common factor 37044 and 37054 is 2.

Also check out the Least Common Multiple of 37044 and 37054