What is the Greatest Common Factor of 9258 and 9274?

Greatest common factor (GCF) of 9258 and 9274 is 2.

GCF(9258,9274) = 2

We will now calculate the prime factors of 9258 and 9274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9258 and 9274.

How to find the GCF of 9258 and 9274?

We will first find the prime factorization of 9258 and 9274. After we will calculate the factors of 9258 and 9274 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 9274

Prime factors of 9274 are 2, 4637. Prime factorization of 9274 in exponential form is:

9274 = 2¹ × 4637¹

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 9274

List of positive integer factors of 9274 that divides 9258 without a remainder.

1, 2, 4637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9258 and 9274. The biggest common factor number is the GCF number.
So the greatest common factor 9258 and 9274 is 2.

Also check out the Least Common Multiple of 9258 and 9274