What is the Greatest Common Factor of 8976 and 8989?

Greatest common factor (GCF) of 8976 and 8989 is 1.

GCF(8976,8989) = 1

We will now calculate the prime factors of 8976 and 8989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8976 and 8989.

How to find the GCF of 8976 and 8989?

We will first find the prime factorization of 8976 and 8989. After we will calculate the factors of 8976 and 8989 and find the biggest common factor number .

Step-1: Prime Factorization of 8976

Prime factors of 8976 are 2, 3, 11, 17. Prime factorization of 8976 in exponential form is:

8976 = 2⁴ × 3¹ × 11¹ × 17¹

Step-2: Prime Factorization of 8989

Prime factors of 8989 are 89, 101. Prime factorization of 8989 in exponential form is:

8989 = 89¹ × 101¹

Step-3: Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488

Step-4: Factors of 8989

List of positive integer factors of 8989 that divides 8976 without a remainder.

1, 89, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8976 and 8989. The biggest common factor number is the GCF number.
So the greatest common factor 8976 and 8989 is 1.

Also check out the Least Common Multiple of 8976 and 8989