What is the Greatest Common Factor of 9207 and 9218?

Greatest common factor (GCF) of 9207 and 9218 is 11.

GCF(9207,9218) = 11

We will now calculate the prime factors of 9207 and 9218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9207 and 9218.

How to find the GCF of 9207 and 9218?

We will first find the prime factorization of 9207 and 9218. After we will calculate the factors of 9207 and 9218 and find the biggest common factor number .

Step-1: Prime Factorization of 9207

Prime factors of 9207 are 3, 11, 31. Prime factorization of 9207 in exponential form is:

9207 = 3³ × 11¹ × 31¹

Step-2: 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-3: Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069

Step-4: Factors of 9218

List of positive integer factors of 9218 that divides 9207 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9207 and 9218. The biggest common factor number is the GCF number.
So the greatest common factor 9207 and 9218 is 11.

Also check out the Least Common Multiple of 9207 and 9218