What is the Greatest Common Factor of 31928 and 31947?

Greatest common factor (GCF) of 31928 and 31947 is 1.

GCF(31928,31947) = 1

We will now calculate the prime factors of 31928 and 31947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31928 and 31947.

How to find the GCF of 31928 and 31947?

We will first find the prime factorization of 31928 and 31947. After we will calculate the factors of 31928 and 31947 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 31947

Prime factors of 31947 are 3, 23, 463. Prime factorization of 31947 in exponential form is:

31947 = 3¹ × 23¹ × 463¹

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 31947

List of positive integer factors of 31947 that divides 31928 without a remainder.

1, 3, 23, 69, 463, 1389, 10649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31928 and 31947. The biggest common factor number is the GCF number.
So the greatest common factor 31928 and 31947 is 1.

Also check out the Least Common Multiple of 31928 and 31947