What is the Greatest Common Factor of 9258 and 9265?

Greatest common factor (GCF) of 9258 and 9265 is 1.

GCF(9258,9265) = 1

We will now calculate the prime factors of 9258 and 9265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9258 and 9265.

How to find the GCF of 9258 and 9265?

We will first find the prime factorization of 9258 and 9265. After we will calculate the factors of 9258 and 9265 and find the biggest common factor number .

Step-1: Prime Factorization of 9258

Prime factors of 9258 are 2, 3, 1543. Prime factorization of 9258 in exponential form is:

9258 = 2¹ × 3¹ × 1543¹

Step-2: Prime Factorization of 9265

Prime factors of 9265 are 5, 17, 109. Prime factorization of 9265 in exponential form is:

9265 = 5¹ × 17¹ × 109¹

Step-3: Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1, 2, 3, 6, 1543, 3086, 4629

Step-4: Factors of 9265

List of positive integer factors of 9265 that divides 9258 without a remainder.

1, 5, 17, 85, 109, 545, 1853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9258 and 9265. The biggest common factor number is the GCF number.
So the greatest common factor 9258 and 9265 is 1.

Also check out the Least Common Multiple of 9258 and 9265