What is the Greatest Common Factor of 72297 and 72309?

Greatest common factor (GCF) of 72297 and 72309 is 3.

GCF(72297,72309) = 3

We will now calculate the prime factors of 72297 and 72309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72297 and 72309.

How to find the GCF of 72297 and 72309?

We will first find the prime factorization of 72297 and 72309. After we will calculate the factors of 72297 and 72309 and find the biggest common factor number .

Step-1: Prime Factorization of 72297

Prime factors of 72297 are 3, 29, 277. Prime factorization of 72297 in exponential form is:

72297 = 3² × 29¹ × 277¹

Step-2: Prime Factorization of 72309

Prime factors of 72309 are 3, 24103. Prime factorization of 72309 in exponential form is:

72309 = 3¹ × 24103¹

Step-3: Factors of 72297

List of positive integer factors of 72297 that divides 72297 without a remainder.

1, 3, 9, 29, 87, 261, 277, 831, 2493, 8033, 24099

Step-4: Factors of 72309

List of positive integer factors of 72309 that divides 72297 without a remainder.

1, 3, 24103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72297 and 72309. The biggest common factor number is the GCF number.
So the greatest common factor 72297 and 72309 is 3.

Also check out the Least Common Multiple of 72297 and 72309