What is the Greatest Common Factor of 31909 and 31916?

Greatest common factor (GCF) of 31909 and 31916 is 1.

GCF(31909,31916) = 1

We will now calculate the prime factors of 31909 and 31916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31909 and 31916.

How to find the GCF of 31909 and 31916?

We will first find the prime factorization of 31909 and 31916. After we will calculate the factors of 31909 and 31916 and find the biggest common factor number .

Step-1: Prime Factorization of 31909

Prime factors of 31909 are 17, 1877. Prime factorization of 31909 in exponential form is:

31909 = 17¹ × 1877¹

Step-2: Prime Factorization of 31916

Prime factors of 31916 are 2, 79, 101. Prime factorization of 31916 in exponential form is:

31916 = 2² × 79¹ × 101¹

Step-3: Factors of 31909

List of positive integer factors of 31909 that divides 31909 without a remainder.

1, 17, 1877

Step-4: Factors of 31916

List of positive integer factors of 31916 that divides 31909 without a remainder.

1, 2, 4, 79, 101, 158, 202, 316, 404, 7979, 15958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31909 and 31916. The biggest common factor number is the GCF number.
So the greatest common factor 31909 and 31916 is 1.

Also check out the Least Common Multiple of 31909 and 31916