What is the Greatest Common Factor of 31928 and 31946?

Greatest common factor (GCF) of 31928 and 31946 is 2.

GCF(31928,31946) = 2

We will now calculate the prime factors of 31928 and 31946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31928 and 31946.

How to find the GCF of 31928 and 31946?

We will first find the prime factorization of 31928 and 31946. After we will calculate the factors of 31928 and 31946 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 31946

Prime factors of 31946 are 2, 15973. Prime factorization of 31946 in exponential form is:

31946 = 2¹ × 15973¹

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 31946

List of positive integer factors of 31946 that divides 31928 without a remainder.

1, 2, 15973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31928 and 31946. The biggest common factor number is the GCF number.
So the greatest common factor 31928 and 31946 is 2.

Also check out the Least Common Multiple of 31928 and 31946