What is the Greatest Common Factor of 9214 and 9228?

Greatest common factor (GCF) of 9214 and 9228 is 2.

GCF(9214,9228) = 2

We will now calculate the prime factors of 9214 and 9228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9214 and 9228.

How to find the GCF of 9214 and 9228?

We will first find the prime factorization of 9214 and 9228. After we will calculate the factors of 9214 and 9228 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 9228

Prime factors of 9228 are 2, 3, 769. Prime factorization of 9228 in exponential form is:

9228 = 2² × 3¹ × 769¹

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 9228

List of positive integer factors of 9228 that divides 9214 without a remainder.

1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9214 and 9228. The biggest common factor number is the GCF number.
So the greatest common factor 9214 and 9228 is 2.

Also check out the Least Common Multiple of 9214 and 9228