What is the Greatest Common Factor of 8991 and 8997?

Greatest common factor (GCF) of 8991 and 8997 is 3.

GCF(8991,8997) = 3

We will now calculate the prime factors of 8991 and 8997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8991 and 8997.

How to find the GCF of 8991 and 8997?

We will first find the prime factorization of 8991 and 8997. After we will calculate the factors of 8991 and 8997 and find the biggest common factor number .

Step-1: Prime Factorization of 8991

Prime factors of 8991 are 3, 37. Prime factorization of 8991 in exponential form is:

8991 = 3⁵ × 37¹

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 8991

List of positive integer factors of 8991 that divides 8991 without a remainder.

1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997

Step-4: Factors of 8997

List of positive integer factors of 8997 that divides 8991 without a remainder.

1, 3, 2999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8991 and 8997. The biggest common factor number is the GCF number.
So the greatest common factor 8991 and 8997 is 3.

Also check out the Least Common Multiple of 8991 and 8997