What is the Greatest Common Factor of 2990 and 2995?

Greatest common factor (GCF) of 2990 and 2995 is 5.

GCF(2990,2995) = 5

We will now calculate the prime factors of 2990 and 2995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2990 and 2995.

How to find the GCF of 2990 and 2995?

We will first find the prime factorization of 2990 and 2995. After we will calculate the factors of 2990 and 2995 and find the biggest common factor number .

Step-1: Prime Factorization of 2990

Prime factors of 2990 are 2, 5, 13, 23. Prime factorization of 2990 in exponential form is:

2990 = 2¹ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 2995

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

2995 = 5¹ × 599¹

Step-3: Factors of 2990

List of positive integer factors of 2990 that divides 2990 without a remainder.

1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495

Step-4: Factors of 2995

List of positive integer factors of 2995 that divides 2990 without a remainder.

1, 5, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2990 and 2995. The biggest common factor number is the GCF number.
So the greatest common factor 2990 and 2995 is 5.

Also check out the Least Common Multiple of 2990 and 2995