What is the Greatest Common Factor of 2982 and 2989?

Greatest common factor (GCF) of 2982 and 2989 is 7.

GCF(2982,2989) = 7

We will now calculate the prime factors of 2982 and 2989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2982 and 2989.

How to find the GCF of 2982 and 2989?

We will first find the prime factorization of 2982 and 2989. After we will calculate the factors of 2982 and 2989 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 2989

Prime factors of 2989 are 7, 61. Prime factorization of 2989 in exponential form is:

2989 = 7² × 61¹

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 2989

List of positive integer factors of 2989 that divides 2982 without a remainder.

1, 7, 49, 61, 427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2982 and 2989. The biggest common factor number is the GCF number.
So the greatest common factor 2982 and 2989 is 7.

Also check out the Least Common Multiple of 2982 and 2989