What is the Greatest Common Factor of 9226 and 9233?

Greatest common factor (GCF) of 9226 and 9233 is 7.

GCF(9226,9233) = 7

We will now calculate the prime factors of 9226 and 9233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9226 and 9233.

How to find the GCF of 9226 and 9233?

We will first find the prime factorization of 9226 and 9233. After we will calculate the factors of 9226 and 9233 and find the biggest common factor number .

Step-1: Prime Factorization of 9226

Prime factors of 9226 are 2, 7, 659. Prime factorization of 9226 in exponential form is:

9226 = 2¹ × 7¹ × 659¹

Step-2: Prime Factorization of 9233

Prime factors of 9233 are 7, 1319. Prime factorization of 9233 in exponential form is:

9233 = 7¹ × 1319¹

Step-3: Factors of 9226

List of positive integer factors of 9226 that divides 9226 without a remainder.

1, 2, 7, 14, 659, 1318, 4613

Step-4: Factors of 9233

List of positive integer factors of 9233 that divides 9226 without a remainder.

1, 7, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9226 and 9233. The biggest common factor number is the GCF number.
So the greatest common factor 9226 and 9233 is 7.

Also check out the Least Common Multiple of 9226 and 9233