What is the Greatest Common Factor of 8976 and 8987?

Greatest common factor (GCF) of 8976 and 8987 is 11.

GCF(8976,8987) = 11

We will now calculate the prime factors of 8976 and 8987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8976 and 8987.

How to find the GCF of 8976 and 8987?

We will first find the prime factorization of 8976 and 8987. After we will calculate the factors of 8976 and 8987 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 8987

Prime factors of 8987 are 11, 19, 43. Prime factorization of 8987 in exponential form is:

8987 = 11¹ × 19¹ × 43¹

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 8987

List of positive integer factors of 8987 that divides 8976 without a remainder.

1, 11, 19, 43, 209, 473, 817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8976 and 8987. The biggest common factor number is the GCF number.
So the greatest common factor 8976 and 8987 is 11.

Also check out the Least Common Multiple of 8976 and 8987