What is the Greatest Common Factor of 2995 and 3005?

Greatest common factor (GCF) of 2995 and 3005 is 5.

GCF(2995,3005) = 5

We will now calculate the prime factors of 2995 and 3005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2995 and 3005.

How to find the GCF of 2995 and 3005?

We will first find the prime factorization of 2995 and 3005. After we will calculate the factors of 2995 and 3005 and find the biggest common factor number .

Step-1: Prime Factorization of 2995

Prime factors of 2995 are 5, 599. Prime factorization of 2995 in exponential form is:

2995 = 5¹ × 599¹

Step-2: Prime Factorization of 3005

Prime factors of 3005 are 5, 601. Prime factorization of 3005 in exponential form is:

3005 = 5¹ × 601¹

Step-3: Factors of 2995

List of positive integer factors of 2995 that divides 2995 without a remainder.

1, 5, 599

Step-4: Factors of 3005

List of positive integer factors of 3005 that divides 2995 without a remainder.

1, 5, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2995 and 3005. The biggest common factor number is the GCF number.
So the greatest common factor 2995 and 3005 is 5.

Also check out the Least Common Multiple of 2995 and 3005