What is the Greatest Common Factor of 9218 and 9229?

Greatest common factor (GCF) of 9218 and 9229 is 11.

GCF(9218,9229) = 11

We will now calculate the prime factors of 9218 and 9229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9218 and 9229.

How to find the GCF of 9218 and 9229?

We will first find the prime factorization of 9218 and 9229. After we will calculate the factors of 9218 and 9229 and find the biggest common factor number .

Step-1: Prime Factorization of 9218

Prime factors of 9218 are 2, 11, 419. Prime factorization of 9218 in exponential form is:

9218 = 2¹ × 11¹ × 419¹

Step-2: Prime Factorization of 9229

Prime factors of 9229 are 11, 839. Prime factorization of 9229 in exponential form is:

9229 = 11¹ × 839¹

Step-3: Factors of 9218

List of positive integer factors of 9218 that divides 9218 without a remainder.

1, 2, 11, 22, 419, 838, 4609

Step-4: Factors of 9229

List of positive integer factors of 9229 that divides 9218 without a remainder.

1, 11, 839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9218 and 9229. The biggest common factor number is the GCF number.
So the greatest common factor 9218 and 9229 is 11.

Also check out the Least Common Multiple of 9218 and 9229