What is the Greatest Common Factor of 2972 and 2980?

Greatest common factor (GCF) of 2972 and 2980 is 4.

GCF(2972,2980) = 4

We will now calculate the prime factors of 2972 and 2980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2972 and 2980.

How to find the GCF of 2972 and 2980?

We will first find the prime factorization of 2972 and 2980. After we will calculate the factors of 2972 and 2980 and find the biggest common factor number .

Step-1: Prime Factorization of 2972

Prime factors of 2972 are 2, 743. Prime factorization of 2972 in exponential form is:

2972 = 2² × 743¹

Step-2: 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-3: Factors of 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1, 2, 4, 743, 1486

Step-4: Factors of 2980

List of positive integer factors of 2980 that divides 2972 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2972 and 2980. The biggest common factor number is the GCF number.
So the greatest common factor 2972 and 2980 is 4.

Also check out the Least Common Multiple of 2972 and 2980