What is the Greatest Common Factor of 2982 and 2996?

Greatest common factor (GCF) of 2982 and 2996 is 14.

GCF(2982,2996) = 14

We will now calculate the prime factors of 2982 and 2996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2982 and 2996.

How to find the GCF of 2982 and 2996?

We will first find the prime factorization of 2982 and 2996. After we will calculate the factors of 2982 and 2996 and find the biggest common factor number .

Step-1: Prime Factorization of 2982

Prime factors of 2982 are 2, 3, 7, 71. Prime factorization of 2982 in exponential form is:

2982 = 2¹ × 3¹ × 7¹ × 71¹

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 2982

List of positive integer factors of 2982 that divides 2982 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491

Step-4: Factors of 2996

List of positive integer factors of 2996 that divides 2982 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 2982 and 2996. The biggest common factor number is the GCF number.
So the greatest common factor 2982 and 2996 is 14.

Also check out the Least Common Multiple of 2982 and 2996