What is the Greatest Common Factor of 8985 and 8994?

Greatest common factor (GCF) of 8985 and 8994 is 3.

GCF(8985,8994) = 3

We will now calculate the prime factors of 8985 and 8994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8985 and 8994.

How to find the GCF of 8985 and 8994?

We will first find the prime factorization of 8985 and 8994. After we will calculate the factors of 8985 and 8994 and find the biggest common factor number .

Step-1: Prime Factorization of 8985

Prime factors of 8985 are 3, 5, 599. Prime factorization of 8985 in exponential form is:

8985 = 3¹ × 5¹ × 599¹

Step-2: Prime Factorization of 8994

Prime factors of 8994 are 2, 3, 1499. Prime factorization of 8994 in exponential form is:

8994 = 2¹ × 3¹ × 1499¹

Step-3: Factors of 8985

List of positive integer factors of 8985 that divides 8985 without a remainder.

1, 3, 5, 15, 599, 1797, 2995

Step-4: Factors of 8994

List of positive integer factors of 8994 that divides 8985 without a remainder.

1, 2, 3, 6, 1499, 2998, 4497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8985 and 8994. The biggest common factor number is the GCF number.
So the greatest common factor 8985 and 8994 is 3.

Also check out the Least Common Multiple of 8985 and 8994