What is the Greatest Common Factor of 8903 and 8912?

Greatest common factor (GCF) of 8903 and 8912 is 1.

GCF(8903,8912) = 1

We will now calculate the prime factors of 8903 and 8912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8903 and 8912.

How to find the GCF of 8903 and 8912?

We will first find the prime factorization of 8903 and 8912. After we will calculate the factors of 8903 and 8912 and find the biggest common factor number .

Step-1: Prime Factorization of 8903

Prime factors of 8903 are 29, 307. Prime factorization of 8903 in exponential form is:

8903 = 29¹ × 307¹

Step-2: Prime Factorization of 8912

Prime factors of 8912 are 2, 557. Prime factorization of 8912 in exponential form is:

8912 = 2⁴ × 557¹

Step-3: Factors of 8903

List of positive integer factors of 8903 that divides 8903 without a remainder.

1, 29, 307

Step-4: Factors of 8912

List of positive integer factors of 8912 that divides 8903 without a remainder.

1, 2, 4, 8, 16, 557, 1114, 2228, 4456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8903 and 8912. The biggest common factor number is the GCF number.
So the greatest common factor 8903 and 8912 is 1.

Also check out the Least Common Multiple of 8903 and 8912