What is the Greatest Common Factor of 31017 and 31031?

Greatest common factor (GCF) of 31017 and 31031 is 7.

GCF(31017,31031) = 7

We will now calculate the prime factors of 31017 and 31031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31017 and 31031.

How to find the GCF of 31017 and 31031?

We will first find the prime factorization of 31017 and 31031. After we will calculate the factors of 31017 and 31031 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 31031

Prime factors of 31031 are 7, 11, 13, 31. Prime factorization of 31031 in exponential form is:

31031 = 7¹ × 11¹ × 13¹ × 31¹

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 31031

List of positive integer factors of 31031 that divides 31017 without a remainder.

1, 7, 11, 13, 31, 77, 91, 143, 217, 341, 403, 1001, 2387, 2821, 4433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31017 and 31031. The biggest common factor number is the GCF number.
So the greatest common factor 31017 and 31031 is 7.

Also check out the Least Common Multiple of 31017 and 31031