What is the Greatest Common Factor of 9228 and 9243?

Greatest common factor (GCF) of 9228 and 9243 is 3.

GCF(9228,9243) = 3

We will now calculate the prime factors of 9228 and 9243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9228 and 9243.

How to find the GCF of 9228 and 9243?

We will first find the prime factorization of 9228 and 9243. After we will calculate the factors of 9228 and 9243 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9243

Prime factors of 9243 are 3, 13, 79. Prime factorization of 9243 in exponential form is:

9243 = 3² × 13¹ × 79¹

Step-3: Factors of 9228

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

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

Step-4: Factors of 9243

List of positive integer factors of 9243 that divides 9228 without a remainder.

1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9228 and 9243. The biggest common factor number is the GCF number.
So the greatest common factor 9228 and 9243 is 3.

Also check out the Least Common Multiple of 9228 and 9243