What is the Greatest Common Factor of 9214 and 9222?

Greatest common factor (GCF) of 9214 and 9222 is 2.

GCF(9214,9222) = 2

We will now calculate the prime factors of 9214 and 9222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9214 and 9222.

How to find the GCF of 9214 and 9222?

We will first find the prime factorization of 9214 and 9222. After we will calculate the factors of 9214 and 9222 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 9222

Prime factors of 9222 are 2, 3, 29, 53. Prime factorization of 9222 in exponential form is:

9222 = 2¹ × 3¹ × 29¹ × 53¹

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 9222

List of positive integer factors of 9222 that divides 9214 without a remainder.

1, 2, 3, 6, 29, 53, 58, 87, 106, 159, 174, 318, 1537, 3074, 4611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9214 and 9222. The biggest common factor number is the GCF number.
So the greatest common factor 9214 and 9222 is 2.

Also check out the Least Common Multiple of 9214 and 9222