What is the Greatest Common Factor of 37962 and 37971?

Greatest common factor (GCF) of 37962 and 37971 is 9.

GCF(37962,37971) = 9

We will now calculate the prime factors of 37962 and 37971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37962 and 37971.

How to find the GCF of 37962 and 37971?

We will first find the prime factorization of 37962 and 37971. After we will calculate the factors of 37962 and 37971 and find the biggest common factor number .

Step-1: Prime Factorization of 37962

Prime factors of 37962 are 2, 3, 19, 37. Prime factorization of 37962 in exponential form is:

37962 = 2¹ × 3³ × 19¹ × 37¹

Step-2: Prime Factorization of 37971

Prime factors of 37971 are 3, 4219. Prime factorization of 37971 in exponential form is:

37971 = 3² × 4219¹

Step-3: Factors of 37962

List of positive integer factors of 37962 that divides 37962 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 37, 38, 54, 57, 74, 111, 114, 171, 222, 333, 342, 513, 666, 703, 999, 1026, 1406, 1998, 2109, 4218, 6327, 12654, 18981

Step-4: Factors of 37971

List of positive integer factors of 37971 that divides 37962 without a remainder.

1, 3, 9, 4219, 12657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37962 and 37971. The biggest common factor number is the GCF number.
So the greatest common factor 37962 and 37971 is 9.

Also check out the Least Common Multiple of 37962 and 37971