What is the Greatest Common Factor of 37989 and 37995?

Greatest common factor (GCF) of 37989 and 37995 is 3.

GCF(37989,37995) = 3

We will now calculate the prime factors of 37989 and 37995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37989 and 37995.

How to find the GCF of 37989 and 37995?

We will first find the prime factorization of 37989 and 37995. After we will calculate the factors of 37989 and 37995 and find the biggest common factor number .

Step-1: Prime Factorization of 37989

Prime factors of 37989 are 3, 7, 67. Prime factorization of 37989 in exponential form is:

37989 = 3⁴ × 7¹ × 67¹

Step-2: Prime Factorization of 37995

Prime factors of 37995 are 3, 5, 17, 149. Prime factorization of 37995 in exponential form is:

37995 = 3¹ × 5¹ × 17¹ × 149¹

Step-3: Factors of 37989

List of positive integer factors of 37989 that divides 37989 without a remainder.

1, 3, 7, 9, 21, 27, 63, 67, 81, 189, 201, 469, 567, 603, 1407, 1809, 4221, 5427, 12663

Step-4: Factors of 37995

List of positive integer factors of 37995 that divides 37989 without a remainder.

1, 3, 5, 15, 17, 51, 85, 149, 255, 447, 745, 2235, 2533, 7599, 12665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37989 and 37995. The biggest common factor number is the GCF number.
So the greatest common factor 37989 and 37995 is 3.

Also check out the Least Common Multiple of 37989 and 37995