What is the Greatest Common Factor of 39928 and 39940?

Greatest common factor (GCF) of 39928 and 39940 is 4.

GCF(39928,39940) = 4

We will now calculate the prime factors of 39928 and 39940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39928 and 39940.

How to find the GCF of 39928 and 39940?

We will first find the prime factorization of 39928 and 39940. After we will calculate the factors of 39928 and 39940 and find the biggest common factor number .

Step-1: Prime Factorization of 39928

Prime factors of 39928 are 2, 7, 23, 31. Prime factorization of 39928 in exponential form is:

39928 = 2³ × 7¹ × 23¹ × 31¹

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 39928

List of positive integer factors of 39928 that divides 39928 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 31, 46, 56, 62, 92, 124, 161, 184, 217, 248, 322, 434, 644, 713, 868, 1288, 1426, 1736, 2852, 4991, 5704, 9982, 19964

Step-4: Factors of 39940

List of positive integer factors of 39940 that divides 39928 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 39928 and 39940. The biggest common factor number is the GCF number.
So the greatest common factor 39928 and 39940 is 4.

Also check out the Least Common Multiple of 39928 and 39940