What is the Greatest Common Factor of 37884 and 37898?

Greatest common factor (GCF) of 37884 and 37898 is 14.

GCF(37884,37898) = 14

We will now calculate the prime factors of 37884 and 37898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37884 and 37898.

How to find the GCF of 37884 and 37898?

We will first find the prime factorization of 37884 and 37898. After we will calculate the factors of 37884 and 37898 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 37898

Prime factors of 37898 are 2, 7, 2707. Prime factorization of 37898 in exponential form is:

37898 = 2¹ × 7¹ × 2707¹

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 37898

List of positive integer factors of 37898 that divides 37884 without a remainder.

1, 2, 7, 14, 2707, 5414, 18949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37884 and 37898. The biggest common factor number is the GCF number.
So the greatest common factor 37884 and 37898 is 14.

Also check out the Least Common Multiple of 37884 and 37898