What is the Greatest Common Factor of 8987 and 9006?

Greatest common factor (GCF) of 8987 and 9006 is 19.

GCF(8987,9006) = 19

We will now calculate the prime factors of 8987 and 9006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8987 and 9006.

How to find the GCF of 8987 and 9006?

We will first find the prime factorization of 8987 and 9006. After we will calculate the factors of 8987 and 9006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9006

Prime factors of 9006 are 2, 3, 19, 79. Prime factorization of 9006 in exponential form is:

9006 = 2¹ × 3¹ × 19¹ × 79¹

Step-3: Factors of 8987

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

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

Step-4: Factors of 9006

List of positive integer factors of 9006 that divides 8987 without a remainder.

1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8987 and 9006. The biggest common factor number is the GCF number.
So the greatest common factor 8987 and 9006 is 19.

Also check out the Least Common Multiple of 8987 and 9006