What is the Greatest Common Factor of 31928 and 31940?

Greatest common factor (GCF) of 31928 and 31940 is 4.

GCF(31928,31940) = 4

We will now calculate the prime factors of 31928 and 31940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31928 and 31940.

How to find the GCF of 31928 and 31940?

We will first find the prime factorization of 31928 and 31940. After we will calculate the factors of 31928 and 31940 and find the biggest common factor number .

Step-1: Prime Factorization of 31928

Prime factors of 31928 are 2, 13, 307. Prime factorization of 31928 in exponential form is:

31928 = 2³ × 13¹ × 307¹

Step-2: Prime Factorization of 31940

Prime factors of 31940 are 2, 5, 1597. Prime factorization of 31940 in exponential form is:

31940 = 2² × 5¹ × 1597¹

Step-3: Factors of 31928

List of positive integer factors of 31928 that divides 31928 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 307, 614, 1228, 2456, 3991, 7982, 15964

Step-4: Factors of 31940

List of positive integer factors of 31940 that divides 31928 without a remainder.

1, 2, 4, 5, 10, 20, 1597, 3194, 6388, 7985, 15970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31928 and 31940. The biggest common factor number is the GCF number.
So the greatest common factor 31928 and 31940 is 4.

Also check out the Least Common Multiple of 31928 and 31940