What is the Greatest Common Factor of 37884 and 37896?

Greatest common factor (GCF) of 37884 and 37896 is 12.

GCF(37884,37896) = 12

We will now calculate the prime factors of 37884 and 37896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37884 and 37896.

How to find the GCF of 37884 and 37896?

We will first find the prime factorization of 37884 and 37896. After we will calculate the factors of 37884 and 37896 and find the biggest common factor number .

Step-1: Prime Factorization of 37884

Prime factors of 37884 are 2, 3, 7, 11, 41. Prime factorization of 37884 in exponential form is:

37884 = 2² × 3¹ × 7¹ × 11¹ × 41¹

Step-2: Prime Factorization of 37896

Prime factors of 37896 are 2, 3, 1579. Prime factorization of 37896 in exponential form is:

37896 = 2³ × 3¹ × 1579¹

Step-3: Factors of 37884

List of positive integer factors of 37884 that divides 37884 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 41, 42, 44, 66, 77, 82, 84, 123, 132, 154, 164, 231, 246, 287, 308, 451, 462, 492, 574, 861, 902, 924, 1148, 1353, 1722, 1804, 2706, 3157, 3444, 5412, 6314, 9471, 12628, 18942

Step-4: Factors of 37896

List of positive integer factors of 37896 that divides 37884 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1579, 3158, 4737, 6316, 9474, 12632, 18948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37884 and 37896. The biggest common factor number is the GCF number.
So the greatest common factor 37884 and 37896 is 12.

Also check out the Least Common Multiple of 37884 and 37896