GCF and LCM Calculator Logo

What is the Greatest Common Factor of 37986 and 38001?

Greatest common factor (GCF) of 37986 and 38001 is 3.

GCF(37986,38001) = 3

We will now calculate the prime factors of 37986 and 38001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37986 and 38001.

GCF Calculator and
and

How to find the GCF of 37986 and 38001?

We will first find the prime factorization of 37986 and 38001. After we will calculate the factors of 37986 and 38001 and find the biggest common factor number .

Step-1: Prime Factorization of 37986

Prime factors of 37986 are 2, 3, 13, 487. Prime factorization of 37986 in exponential form is:

37986 = 21 × 31 × 131 × 4871

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 37986

List of positive integer factors of 37986 that divides 37986 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 487, 974, 1461, 2922, 6331, 12662, 18993

Step-4: Factors of 38001

List of positive integer factors of 38001 that divides 37986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37986 and 38001. The biggest common factor number is the GCF number.
So the greatest common factor 37986 and 38001 is 3.

Also check out the Least Common Multiple of 37986 and 38001