What is the Greatest Common Factor of 2980 and 2998?

Greatest common factor (GCF) of 2980 and 2998 is 2.

GCF(2980,2998) = 2

We will now calculate the prime factors of 2980 and 2998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2980 and 2998.

How to find the GCF of 2980 and 2998?

We will first find the prime factorization of 2980 and 2998. After we will calculate the factors of 2980 and 2998 and find the biggest common factor number .

Step-1: Prime Factorization of 2980

Prime factors of 2980 are 2, 5, 149. Prime factorization of 2980 in exponential form is:

2980 = 2² × 5¹ × 149¹

Step-2: Prime Factorization of 2998

Prime factors of 2998 are 2, 1499. Prime factorization of 2998 in exponential form is:

2998 = 2¹ × 1499¹

Step-3: Factors of 2980

List of positive integer factors of 2980 that divides 2980 without a remainder.

1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490

Step-4: Factors of 2998

List of positive integer factors of 2998 that divides 2980 without a remainder.

1, 2, 1499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2980 and 2998. The biggest common factor number is the GCF number.
So the greatest common factor 2980 and 2998 is 2.

Also check out the Least Common Multiple of 2980 and 2998