What is the Greatest Common Factor of 9222 and 9230?

Greatest common factor (GCF) of 9222 and 9230 is 2.

GCF(9222,9230) = 2

We will now calculate the prime factors of 9222 and 9230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9222 and 9230.

How to find the GCF of 9222 and 9230?

We will first find the prime factorization of 9222 and 9230. After we will calculate the factors of 9222 and 9230 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 9230

Prime factors of 9230 are 2, 5, 13, 71. Prime factorization of 9230 in exponential form is:

9230 = 2¹ × 5¹ × 13¹ × 71¹

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 9230

List of positive integer factors of 9230 that divides 9222 without a remainder.

1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9222 and 9230. The biggest common factor number is the GCF number.
So the greatest common factor 9222 and 9230 is 2.

Also check out the Least Common Multiple of 9222 and 9230