What is the Greatest Common Factor of 9212 and 9226?

Greatest common factor (GCF) of 9212 and 9226 is 14.

GCF(9212,9226) = 14

We will now calculate the prime factors of 9212 and 9226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9212 and 9226.

How to find the GCF of 9212 and 9226?

We will first find the prime factorization of 9212 and 9226. After we will calculate the factors of 9212 and 9226 and find the biggest common factor number .

Step-1: Prime Factorization of 9212

Prime factors of 9212 are 2, 7, 47. Prime factorization of 9212 in exponential form is:

9212 = 2² × 7² × 47¹

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 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606

Step-4: Factors of 9226

List of positive integer factors of 9226 that divides 9212 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9212 and 9226. The biggest common factor number is the GCF number.
So the greatest common factor 9212 and 9226 is 14.

Also check out the Least Common Multiple of 9212 and 9226