What is the Greatest Common Factor of 37989 and 38006?

Greatest common factor (GCF) of 37989 and 38006 is 1.

GCF(37989,38006) = 1

We will now calculate the prime factors of 37989 and 38006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37989 and 38006.

How to find the GCF of 37989 and 38006?

We will first find the prime factorization of 37989 and 38006. After we will calculate the factors of 37989 and 38006 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 38006

Prime factors of 38006 are 2, 31, 613. Prime factorization of 38006 in exponential form is:

38006 = 2¹ × 31¹ × 613¹

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 38006

List of positive integer factors of 38006 that divides 37989 without a remainder.

1, 2, 31, 62, 613, 1226, 19003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37989 and 38006. The biggest common factor number is the GCF number.
So the greatest common factor 37989 and 38006 is 1.

Also check out the Least Common Multiple of 37989 and 38006