What is the Greatest Common Factor of 3016 and 3030?

Greatest common factor (GCF) of 3016 and 3030 is 2.

GCF(3016,3030) = 2

We will now calculate the prime factors of 3016 and 3030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3016 and 3030.

How to find the GCF of 3016 and 3030?

We will first find the prime factorization of 3016 and 3030. After we will calculate the factors of 3016 and 3030 and find the biggest common factor number .

Step-1: Prime Factorization of 3016

Prime factors of 3016 are 2, 13, 29. Prime factorization of 3016 in exponential form is:

3016 = 2³ × 13¹ × 29¹

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 3016

List of positive integer factors of 3016 that divides 3016 without a remainder.

1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508

Step-4: Factors of 3030

List of positive integer factors of 3030 that divides 3016 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 3016 and 3030. The biggest common factor number is the GCF number.
So the greatest common factor 3016 and 3030 is 2.

Also check out the Least Common Multiple of 3016 and 3030