What is the Greatest Common Factor of 31926 and 31931?

Greatest common factor (GCF) of 31926 and 31931 is 1.

GCF(31926,31931) = 1

We will now calculate the prime factors of 31926 and 31931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31926 and 31931.

How to find the GCF of 31926 and 31931?

We will first find the prime factorization of 31926 and 31931. After we will calculate the factors of 31926 and 31931 and find the biggest common factor number .

Step-1: Prime Factorization of 31926

Prime factors of 31926 are 2, 3, 17, 313. Prime factorization of 31926 in exponential form is:

31926 = 2¹ × 3¹ × 17¹ × 313¹

Step-2: Prime Factorization of 31931

Prime factors of 31931 are 37, 863. Prime factorization of 31931 in exponential form is:

31931 = 37¹ × 863¹

Step-3: Factors of 31926

List of positive integer factors of 31926 that divides 31926 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 313, 626, 939, 1878, 5321, 10642, 15963

Step-4: Factors of 31931

List of positive integer factors of 31931 that divides 31926 without a remainder.

1, 37, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31926 and 31931. The biggest common factor number is the GCF number.
So the greatest common factor 31926 and 31931 is 1.

Also check out the Least Common Multiple of 31926 and 31931