What is the Greatest Common Factor of 39924 and 39937?

Greatest common factor (GCF) of 39924 and 39937 is 1.

GCF(39924,39937) = 1

We will now calculate the prime factors of 39924 and 39937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39924 and 39937.

How to find the GCF of 39924 and 39937?

We will first find the prime factorization of 39924 and 39937. After we will calculate the factors of 39924 and 39937 and find the biggest common factor number .

Step-1: Prime Factorization of 39924

Prime factors of 39924 are 2, 3, 1109. Prime factorization of 39924 in exponential form is:

39924 = 2² × 3² × 1109¹

Step-2: Prime Factorization of 39937

Prime factors of 39937 are 39937. Prime factorization of 39937 in exponential form is:

39937 = 39937¹

Step-3: Factors of 39924

List of positive integer factors of 39924 that divides 39924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1109, 2218, 3327, 4436, 6654, 9981, 13308, 19962

Step-4: Factors of 39937

List of positive integer factors of 39937 that divides 39924 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39924 and 39937. The biggest common factor number is the GCF number.
So the greatest common factor 39924 and 39937 is 1.

Also check out the Least Common Multiple of 39924 and 39937