What is the Greatest Common Factor of 39920 and 39937?

Greatest common factor (GCF) of 39920 and 39937 is 1.

GCF(39920,39937) = 1

We will now calculate the prime factors of 39920 and 39937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39920 and 39937.

How to find the GCF of 39920 and 39937?

We will first find the prime factorization of 39920 and 39937. After we will calculate the factors of 39920 and 39937 and find the biggest common factor number .

Step-1: Prime Factorization of 39920

Prime factors of 39920 are 2, 5, 499. Prime factorization of 39920 in exponential form is:

39920 = 2⁴ × 5¹ × 499¹

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 39920

List of positive integer factors of 39920 that divides 39920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 499, 998, 1996, 2495, 3992, 4990, 7984, 9980, 19960

Step-4: Factors of 39937

List of positive integer factors of 39937 that divides 39920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39920 and 39937. The biggest common factor number is the GCF number.
So the greatest common factor 39920 and 39937 is 1.

Also check out the Least Common Multiple of 39920 and 39937