What is the Greatest Common Factor of 2985 and 3005?

Greatest common factor (GCF) of 2985 and 3005 is 5.

GCF(2985,3005) = 5

We will now calculate the prime factors of 2985 and 3005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2985 and 3005.

How to find the GCF of 2985 and 3005?

We will first find the prime factorization of 2985 and 3005. After we will calculate the factors of 2985 and 3005 and find the biggest common factor number .

Step-1: Prime Factorization of 2985

Prime factors of 2985 are 3, 5, 199. Prime factorization of 2985 in exponential form is:

2985 = 3¹ × 5¹ × 199¹

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 2985

List of positive integer factors of 2985 that divides 2985 without a remainder.

1, 3, 5, 15, 199, 597, 995

Step-4: Factors of 3005

List of positive integer factors of 3005 that divides 2985 without a remainder.

1, 5, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2985 and 3005. The biggest common factor number is the GCF number.
So the greatest common factor 2985 and 3005 is 5.

Also check out the Least Common Multiple of 2985 and 3005