What is the Greatest Common Factor of 37986 and 37999?

Greatest common factor (GCF) of 37986 and 37999 is 13.

GCF(37986,37999) = 13

We will now calculate the prime factors of 37986 and 37999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37986 and 37999.

How to find the GCF of 37986 and 37999?

We will first find the prime factorization of 37986 and 37999. After we will calculate the factors of 37986 and 37999 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 37999

Prime factors of 37999 are 13, 37, 79. Prime factorization of 37999 in exponential form is:

37999 = 13¹ × 37¹ × 79¹

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 37999

List of positive integer factors of 37999 that divides 37986 without a remainder.

1, 13, 37, 79, 481, 1027, 2923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37986 and 37999. The biggest common factor number is the GCF number.
So the greatest common factor 37986 and 37999 is 13.

Also check out the Least Common Multiple of 37986 and 37999