What is the Greatest Common Factor of 37989 and 37997?

Greatest common factor (GCF) of 37989 and 37997 is 1.

GCF(37989,37997) = 1

We will now calculate the prime factors of 37989 and 37997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37989 and 37997.

How to find the GCF of 37989 and 37997?

We will first find the prime factorization of 37989 and 37997. After we will calculate the factors of 37989 and 37997 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 37997

Prime factors of 37997 are 37997. Prime factorization of 37997 in exponential form is:

37997 = 37997¹

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 37997

List of positive integer factors of 37997 that divides 37989 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37989 and 37997. The biggest common factor number is the GCF number.
So the greatest common factor 37989 and 37997 is 1.

Also check out the Least Common Multiple of 37989 and 37997