What is the Greatest Common Factor of 3014 and 3018?

Greatest common factor (GCF) of 3014 and 3018 is 2.

GCF(3014,3018) = 2

We will now calculate the prime factors of 3014 and 3018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3014 and 3018.

How to find the GCF of 3014 and 3018?

We will first find the prime factorization of 3014 and 3018. After we will calculate the factors of 3014 and 3018 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 3018

Prime factors of 3018 are 2, 3, 503. Prime factorization of 3018 in exponential form is:

3018 = 2¹ × 3¹ × 503¹

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 3018

List of positive integer factors of 3018 that divides 3014 without a remainder.

1, 2, 3, 6, 503, 1006, 1509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3014 and 3018. The biggest common factor number is the GCF number.
So the greatest common factor 3014 and 3018 is 2.

Also check out the Least Common Multiple of 3014 and 3018