What is the Greatest Common Factor of 9222 and 9241?

Greatest common factor (GCF) of 9222 and 9241 is 1.

GCF(9222,9241) = 1

We will now calculate the prime factors of 9222 and 9241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9222 and 9241.

How to find the GCF of 9222 and 9241?

We will first find the prime factorization of 9222 and 9241. After we will calculate the factors of 9222 and 9241 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 9241

Prime factors of 9241 are 9241. Prime factorization of 9241 in exponential form is:

9241 = 9241¹

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 9241

List of positive integer factors of 9241 that divides 9222 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9222 and 9241. The biggest common factor number is the GCF number.
So the greatest common factor 9222 and 9241 is 1.

Also check out the Least Common Multiple of 9222 and 9241