What is the Greatest Common Factor of 3014 and 3030?

Greatest common factor (GCF) of 3014 and 3030 is 2.

GCF(3014,3030) = 2

We will now calculate the prime factors of 3014 and 3030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3014 and 3030.

How to find the GCF of 3014 and 3030?

We will first find the prime factorization of 3014 and 3030. After we will calculate the factors of 3014 and 3030 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 3030

Prime factors of 3030 are 2, 3, 5, 101. Prime factorization of 3030 in exponential form is:

3030 = 2¹ × 3¹ × 5¹ × 101¹

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 3030

List of positive integer factors of 3030 that divides 3014 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3014 and 3030. The biggest common factor number is the GCF number.
So the greatest common factor 3014 and 3030 is 2.

Also check out the Least Common Multiple of 3014 and 3030