What is the Greatest Common Factor of 8959 and 8976?

Greatest common factor (GCF) of 8959 and 8976 is 17.

GCF(8959,8976) = 17

We will now calculate the prime factors of 8959 and 8976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8959 and 8976.

How to find the GCF of 8959 and 8976?

We will first find the prime factorization of 8959 and 8976. After we will calculate the factors of 8959 and 8976 and find the biggest common factor number .

Step-1: Prime Factorization of 8959

Prime factors of 8959 are 17, 31. Prime factorization of 8959 in exponential form is:

8959 = 17² × 31¹

Step-2: 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-3: Factors of 8959

List of positive integer factors of 8959 that divides 8959 without a remainder.

1, 17, 31, 289, 527

Step-4: Factors of 8976

List of positive integer factors of 8976 that divides 8959 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8959 and 8976. The biggest common factor number is the GCF number.
So the greatest common factor 8959 and 8976 is 17.

Also check out the Least Common Multiple of 8959 and 8976