What is the Greatest Common Factor of 9222 and 9237?

Greatest common factor (GCF) of 9222 and 9237 is 3.

GCF(9222,9237) = 3

We will now calculate the prime factors of 9222 and 9237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9222 and 9237.

How to find the GCF of 9222 and 9237?

We will first find the prime factorization of 9222 and 9237. After we will calculate the factors of 9222 and 9237 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9237

Prime factors of 9237 are 3, 3079. Prime factorization of 9237 in exponential form is:

9237 = 3¹ × 3079¹

Step-3: Factors of 9222

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

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

Step-4: Factors of 9237

List of positive integer factors of 9237 that divides 9222 without a remainder.

1, 3, 3079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9222 and 9237. The biggest common factor number is the GCF number.
So the greatest common factor 9222 and 9237 is 3.

Also check out the Least Common Multiple of 9222 and 9237