What is the Greatest Common Factor of 9214 and 9226?

Greatest common factor (GCF) of 9214 and 9226 is 2.

GCF(9214,9226) = 2

We will now calculate the prime factors of 9214 and 9226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9214 and 9226.

How to find the GCF of 9214 and 9226?

We will first find the prime factorization of 9214 and 9226. After we will calculate the factors of 9214 and 9226 and find the biggest common factor number .

Step-1: Prime Factorization of 9214

Prime factors of 9214 are 2, 17, 271. Prime factorization of 9214 in exponential form is:

9214 = 2¹ × 17¹ × 271¹

Step-2: 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-3: Factors of 9214

List of positive integer factors of 9214 that divides 9214 without a remainder.

1, 2, 17, 34, 271, 542, 4607

Step-4: Factors of 9226

List of positive integer factors of 9226 that divides 9214 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9214 and 9226. The biggest common factor number is the GCF number.
So the greatest common factor 9214 and 9226 is 2.

Also check out the Least Common Multiple of 9214 and 9226