What is the Greatest Common Factor of 8982 and 8997?

Greatest common factor (GCF) of 8982 and 8997 is 3.

GCF(8982,8997) = 3

We will now calculate the prime factors of 8982 and 8997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8982 and 8997.

How to find the GCF of 8982 and 8997?

We will first find the prime factorization of 8982 and 8997. After we will calculate the factors of 8982 and 8997 and find the biggest common factor number .

Step-1: Prime Factorization of 8982

Prime factors of 8982 are 2, 3, 499. Prime factorization of 8982 in exponential form is:

8982 = 2¹ × 3² × 499¹

Step-2: Prime Factorization of 8997

Prime factors of 8997 are 3, 2999. Prime factorization of 8997 in exponential form is:

8997 = 3¹ × 2999¹

Step-3: Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491

Step-4: Factors of 8997

List of positive integer factors of 8997 that divides 8982 without a remainder.

1, 3, 2999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8982 and 8997. The biggest common factor number is the GCF number.
So the greatest common factor 8982 and 8997 is 3.

Also check out the Least Common Multiple of 8982 and 8997