What is the Greatest Common Factor of 2981 and 2992?

Greatest common factor (GCF) of 2981 and 2992 is 11.

GCF(2981,2992) = 11

We will now calculate the prime factors of 2981 and 2992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2981 and 2992.

How to find the GCF of 2981 and 2992?

We will first find the prime factorization of 2981 and 2992. After we will calculate the factors of 2981 and 2992 and find the biggest common factor number .

Step-1: Prime Factorization of 2981

Prime factors of 2981 are 11, 271. Prime factorization of 2981 in exponential form is:

2981 = 11¹ × 271¹

Step-2: Prime Factorization of 2992

Prime factors of 2992 are 2, 11, 17. Prime factorization of 2992 in exponential form is:

2992 = 2⁴ × 11¹ × 17¹

Step-3: Factors of 2981

List of positive integer factors of 2981 that divides 2981 without a remainder.

1, 11, 271

Step-4: Factors of 2992

List of positive integer factors of 2992 that divides 2981 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2981 and 2992. The biggest common factor number is the GCF number.
So the greatest common factor 2981 and 2992 is 11.

Also check out the Least Common Multiple of 2981 and 2992