What is the Greatest Common Factor of 2996 and 3011?

Greatest common factor (GCF) of 2996 and 3011 is 1.

GCF(2996,3011) = 1

We will now calculate the prime factors of 2996 and 3011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2996 and 3011.

How to find the GCF of 2996 and 3011?

We will first find the prime factorization of 2996 and 3011. After we will calculate the factors of 2996 and 3011 and find the biggest common factor number .

Step-1: Prime Factorization of 2996

Prime factors of 2996 are 2, 7, 107. Prime factorization of 2996 in exponential form is:

2996 = 2² × 7¹ × 107¹

Step-2: Prime Factorization of 3011

Prime factors of 3011 are 3011. Prime factorization of 3011 in exponential form is:

3011 = 3011¹

Step-3: Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498

Step-4: Factors of 3011

List of positive integer factors of 3011 that divides 2996 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2996 and 3011. The biggest common factor number is the GCF number.
So the greatest common factor 2996 and 3011 is 1.

Also check out the Least Common Multiple of 2996 and 3011