What is the Greatest Common Factor of 39920 and 39940?

Greatest common factor (GCF) of 39920 and 39940 is 20.

GCF(39920,39940) = 20

We will now calculate the prime factors of 39920 and 39940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39920 and 39940.

How to find the GCF of 39920 and 39940?

We will first find the prime factorization of 39920 and 39940. After we will calculate the factors of 39920 and 39940 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 39940

Prime factors of 39940 are 2, 5, 1997. Prime factorization of 39940 in exponential form is:

39940 = 2² × 5¹ × 1997¹

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 39940

List of positive integer factors of 39940 that divides 39920 without a remainder.

1, 2, 4, 5, 10, 20, 1997, 3994, 7988, 9985, 19970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39920 and 39940. The biggest common factor number is the GCF number.
So the greatest common factor 39920 and 39940 is 20.

Also check out the Least Common Multiple of 39920 and 39940