What is the Greatest Common Factor of 3006 and 3010?

Greatest common factor (GCF) of 3006 and 3010 is 2.

GCF(3006,3010) = 2

We will now calculate the prime factors of 3006 and 3010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3006 and 3010.

How to find the GCF of 3006 and 3010?

We will first find the prime factorization of 3006 and 3010. After we will calculate the factors of 3006 and 3010 and find the biggest common factor number .

Step-1: Prime Factorization of 3006

Prime factors of 3006 are 2, 3, 167. Prime factorization of 3006 in exponential form is:

3006 = 2¹ × 3² × 167¹

Step-2: Prime Factorization of 3010

Prime factors of 3010 are 2, 5, 7, 43. Prime factorization of 3010 in exponential form is:

3010 = 2¹ × 5¹ × 7¹ × 43¹

Step-3: Factors of 3006

List of positive integer factors of 3006 that divides 3006 without a remainder.

1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503

Step-4: Factors of 3010

List of positive integer factors of 3010 that divides 3006 without a remainder.

1, 2, 5, 7, 10, 14, 35, 43, 70, 86, 215, 301, 430, 602, 1505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3006 and 3010. The biggest common factor number is the GCF number.
So the greatest common factor 3006 and 3010 is 2.

Also check out the Least Common Multiple of 3006 and 3010