What is the Greatest Common Factor of 31017 and 31022?

Greatest common factor (GCF) of 31017 and 31022 is 1.

GCF(31017,31022) = 1

We will now calculate the prime factors of 31017 and 31022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31017 and 31022.

How to find the GCF of 31017 and 31022?

We will first find the prime factorization of 31017 and 31022. After we will calculate the factors of 31017 and 31022 and find the biggest common factor number .

Step-1: Prime Factorization of 31017

Prime factors of 31017 are 3, 7, 211. Prime factorization of 31017 in exponential form is:

31017 = 3¹ × 7² × 211¹

Step-2: Prime Factorization of 31022

Prime factors of 31022 are 2, 15511. Prime factorization of 31022 in exponential form is:

31022 = 2¹ × 15511¹

Step-3: Factors of 31017

List of positive integer factors of 31017 that divides 31017 without a remainder.

1, 3, 7, 21, 49, 147, 211, 633, 1477, 4431, 10339

Step-4: Factors of 31022

List of positive integer factors of 31022 that divides 31017 without a remainder.

1, 2, 15511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31017 and 31022. The biggest common factor number is the GCF number.
So the greatest common factor 31017 and 31022 is 1.

Also check out the Least Common Multiple of 31017 and 31022