What is the Greatest Common Factor of 3017 and 3031?

Greatest common factor (GCF) of 3017 and 3031 is 7.

GCF(3017,3031) = 7

We will now calculate the prime factors of 3017 and 3031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3017 and 3031.

How to find the GCF of 3017 and 3031?

We will first find the prime factorization of 3017 and 3031. After we will calculate the factors of 3017 and 3031 and find the biggest common factor number .

Step-1: Prime Factorization of 3017

Prime factors of 3017 are 7, 431. Prime factorization of 3017 in exponential form is:

3017 = 7¹ × 431¹

Step-2: Prime Factorization of 3031

Prime factors of 3031 are 7, 433. Prime factorization of 3031 in exponential form is:

3031 = 7¹ × 433¹

Step-3: Factors of 3017

List of positive integer factors of 3017 that divides 3017 without a remainder.

1, 7, 431

Step-4: Factors of 3031

List of positive integer factors of 3031 that divides 3017 without a remainder.

1, 7, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3017 and 3031. The biggest common factor number is the GCF number.
So the greatest common factor 3017 and 3031 is 7.

Also check out the Least Common Multiple of 3017 and 3031