What is the Greatest Common Factor of 3006 and 3025?

Greatest common factor (GCF) of 3006 and 3025 is 1.

GCF(3006,3025) = 1

We will now calculate the prime factors of 3006 and 3025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3006 and 3025.

How to find the GCF of 3006 and 3025?

We will first find the prime factorization of 3006 and 3025. After we will calculate the factors of 3006 and 3025 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 3025

Prime factors of 3025 are 5, 11. Prime factorization of 3025 in exponential form is:

3025 = 5² × 11²

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 3025

List of positive integer factors of 3025 that divides 3006 without a remainder.

1, 5, 11, 25, 55, 121, 275, 605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3006 and 3025. The biggest common factor number is the GCF number.
So the greatest common factor 3006 and 3025 is 1.

Also check out the Least Common Multiple of 3006 and 3025