What is the Greatest Common Factor of 8857 and 8874?

Greatest common factor (GCF) of 8857 and 8874 is 17.

GCF(8857,8874) = 17

We will now calculate the prime factors of 8857 and 8874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8857 and 8874.

How to find the GCF of 8857 and 8874?

We will first find the prime factorization of 8857 and 8874. After we will calculate the factors of 8857 and 8874 and find the biggest common factor number .

Step-1: Prime Factorization of 8857

Prime factors of 8857 are 17, 521. Prime factorization of 8857 in exponential form is:

8857 = 17¹ × 521¹

Step-2: 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-3: Factors of 8857

List of positive integer factors of 8857 that divides 8857 without a remainder.

1, 17, 521

Step-4: Factors of 8874

List of positive integer factors of 8874 that divides 8857 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8857 and 8874. The biggest common factor number is the GCF number.
So the greatest common factor 8857 and 8874 is 17.

Also check out the Least Common Multiple of 8857 and 8874