What is the Greatest Common Factor of 8874 and 8887?

Greatest common factor (GCF) of 8874 and 8887 is 1.

GCF(8874,8887) = 1

We will now calculate the prime factors of 8874 and 8887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8874 and 8887.

How to find the GCF of 8874 and 8887?

We will first find the prime factorization of 8874 and 8887. After we will calculate the factors of 8874 and 8887 and find the biggest common factor number .

Step-1: Prime Factorization of 8874

Prime factors of 8874 are 2, 3, 17, 29. Prime factorization of 8874 in exponential form is:

8874 = 2¹ × 3² × 17¹ × 29¹

Step-2: Prime Factorization of 8887

Prime factors of 8887 are 8887. Prime factorization of 8887 in exponential form is:

8887 = 8887¹

Step-3: Factors of 8874

List of positive integer factors of 8874 that divides 8874 without a remainder.

1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437

Step-4: Factors of 8887

List of positive integer factors of 8887 that divides 8874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8874 and 8887. The biggest common factor number is the GCF number.
So the greatest common factor 8874 and 8887 is 1.

Also check out the Least Common Multiple of 8874 and 8887