What is the Greatest Common Factor of 31928 and 31942?

Greatest common factor (GCF) of 31928 and 31942 is 2.

GCF(31928,31942) = 2

We will now calculate the prime factors of 31928 and 31942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31928 and 31942.

How to find the GCF of 31928 and 31942?

We will first find the prime factorization of 31928 and 31942. After we will calculate the factors of 31928 and 31942 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 31942

Prime factors of 31942 are 2, 15971. Prime factorization of 31942 in exponential form is:

31942 = 2¹ × 15971¹

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 31942

List of positive integer factors of 31942 that divides 31928 without a remainder.

1, 2, 15971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31928 and 31942. The biggest common factor number is the GCF number.
So the greatest common factor 31928 and 31942 is 2.

Also check out the Least Common Multiple of 31928 and 31942