What is the Greatest Common Factor of 8987 and 8999?

Greatest common factor (GCF) of 8987 and 8999 is 1.

GCF(8987,8999) = 1

We will now calculate the prime factors of 8987 and 8999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8987 and 8999.

How to find the GCF of 8987 and 8999?

We will first find the prime factorization of 8987 and 8999. After we will calculate the factors of 8987 and 8999 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 8999

Prime factors of 8999 are 8999. Prime factorization of 8999 in exponential form is:

8999 = 8999¹

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 8999

List of positive integer factors of 8999 that divides 8987 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8987 and 8999. The biggest common factor number is the GCF number.
So the greatest common factor 8987 and 8999 is 1.

Also check out the Least Common Multiple of 8987 and 8999