What is the Greatest Common Factor of 3014 and 3031?

Greatest common factor (GCF) of 3014 and 3031 is 1.

GCF(3014,3031) = 1

We will now calculate the prime factors of 3014 and 3031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3014 and 3031.

How to find the GCF of 3014 and 3031?

We will first find the prime factorization of 3014 and 3031. After we will calculate the factors of 3014 and 3031 and find the biggest common factor number .

Step-1: Prime Factorization of 3014

Prime factors of 3014 are 2, 11, 137. Prime factorization of 3014 in exponential form is:

3014 = 2¹ × 11¹ × 137¹

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 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1, 2, 11, 22, 137, 274, 1507

Step-4: Factors of 3031

List of positive integer factors of 3031 that divides 3014 without a remainder.

1, 7, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3014 and 3031. The biggest common factor number is the GCF number.
So the greatest common factor 3014 and 3031 is 1.

Also check out the Least Common Multiple of 3014 and 3031