What is the Greatest Common Factor of 9204 and 9219?

Greatest common factor (GCF) of 9204 and 9219 is 3.

GCF(9204,9219) = 3

We will now calculate the prime factors of 9204 and 9219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9204 and 9219.

How to find the GCF of 9204 and 9219?

We will first find the prime factorization of 9204 and 9219. After we will calculate the factors of 9204 and 9219 and find the biggest common factor number .

Step-1: Prime Factorization of 9204

Prime factors of 9204 are 2, 3, 13, 59. Prime factorization of 9204 in exponential form is:

9204 = 2² × 3¹ × 13¹ × 59¹

Step-2: Prime Factorization of 9219

Prime factors of 9219 are 3, 7, 439. Prime factorization of 9219 in exponential form is:

9219 = 3¹ × 7¹ × 439¹

Step-3: Factors of 9204

List of positive integer factors of 9204 that divides 9204 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602

Step-4: Factors of 9219

List of positive integer factors of 9219 that divides 9204 without a remainder.

1, 3, 7, 21, 439, 1317, 3073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9204 and 9219. The biggest common factor number is the GCF number.
So the greatest common factor 9204 and 9219 is 3.

Also check out the Least Common Multiple of 9204 and 9219