What is the Greatest Common Factor of 2986 and 2996?

Greatest common factor (GCF) of 2986 and 2996 is 2.

GCF(2986,2996) = 2

We will now calculate the prime factors of 2986 and 2996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2986 and 2996.

How to find the GCF of 2986 and 2996?

We will first find the prime factorization of 2986 and 2996. After we will calculate the factors of 2986 and 2996 and find the biggest common factor number .

Step-1: Prime Factorization of 2986

Prime factors of 2986 are 2, 1493. Prime factorization of 2986 in exponential form is:

2986 = 2¹ × 1493¹

Step-2: 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-3: Factors of 2986

List of positive integer factors of 2986 that divides 2986 without a remainder.

1, 2, 1493

Step-4: Factors of 2996

List of positive integer factors of 2996 that divides 2986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2986 and 2996. The biggest common factor number is the GCF number.
So the greatest common factor 2986 and 2996 is 2.

Also check out the Least Common Multiple of 2986 and 2996