What is the Greatest Common Factor of 37989 and 38001?

Greatest common factor (GCF) of 37989 and 38001 is 3.

GCF(37989,38001) = 3

We will now calculate the prime factors of 37989 and 38001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37989 and 38001.

How to find the GCF of 37989 and 38001?

We will first find the prime factorization of 37989 and 38001. After we will calculate the factors of 37989 and 38001 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 38001

Prime factors of 38001 are 3, 53, 239. Prime factorization of 38001 in exponential form is:

38001 = 3¹ × 53¹ × 239¹

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 38001

List of positive integer factors of 38001 that divides 37989 without a remainder.

1, 3, 53, 159, 239, 717, 12667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37989 and 38001. The biggest common factor number is the GCF number.
So the greatest common factor 37989 and 38001 is 3.

Also check out the Least Common Multiple of 37989 and 38001