What is the Greatest Common Factor of 37884 and 37893?

Greatest common factor (GCF) of 37884 and 37893 is 3.

GCF(37884,37893) = 3

We will now calculate the prime factors of 37884 and 37893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37884 and 37893.

How to find the GCF of 37884 and 37893?

We will first find the prime factorization of 37884 and 37893. After we will calculate the factors of 37884 and 37893 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 37893

Prime factors of 37893 are 3, 17, 743. Prime factorization of 37893 in exponential form is:

37893 = 3¹ × 17¹ × 743¹

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 37893

List of positive integer factors of 37893 that divides 37884 without a remainder.

1, 3, 17, 51, 743, 2229, 12631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37884 and 37893. The biggest common factor number is the GCF number.
So the greatest common factor 37884 and 37893 is 3.

Also check out the Least Common Multiple of 37884 and 37893