What is the Greatest Common Factor of 8909 and 8928?

Greatest common factor (GCF) of 8909 and 8928 is 1.

GCF(8909,8928) = 1

We will now calculate the prime factors of 8909 and 8928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8909 and 8928.

How to find the GCF of 8909 and 8928?

We will first find the prime factorization of 8909 and 8928. After we will calculate the factors of 8909 and 8928 and find the biggest common factor number .

Step-1: Prime Factorization of 8909

Prime factors of 8909 are 59, 151. Prime factorization of 8909 in exponential form is:

8909 = 59¹ × 151¹

Step-2: Prime Factorization of 8928

Prime factors of 8928 are 2, 3, 31. Prime factorization of 8928 in exponential form is:

8928 = 2⁵ × 3² × 31¹

Step-3: Factors of 8909

List of positive integer factors of 8909 that divides 8909 without a remainder.

1, 59, 151

Step-4: Factors of 8928

List of positive integer factors of 8928 that divides 8909 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 72, 93, 96, 124, 144, 186, 248, 279, 288, 372, 496, 558, 744, 992, 1116, 1488, 2232, 2976, 4464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8909 and 8928. The biggest common factor number is the GCF number.
So the greatest common factor 8909 and 8928 is 1.

Also check out the Least Common Multiple of 8909 and 8928