What is the Greatest Common Factor of 72289 and 72297?

Greatest common factor (GCF) of 72289 and 72297 is 1.

GCF(72289,72297) = 1

We will now calculate the prime factors of 72289 and 72297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72289 and 72297.

How to find the GCF of 72289 and 72297?

We will first find the prime factorization of 72289 and 72297. After we will calculate the factors of 72289 and 72297 and find the biggest common factor number .

Step-1: Prime Factorization of 72289

Prime factors of 72289 are 7, 23, 449. Prime factorization of 72289 in exponential form is:

72289 = 7¹ × 23¹ × 449¹

Step-2: 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-3: Factors of 72289

List of positive integer factors of 72289 that divides 72289 without a remainder.

1, 7, 23, 161, 449, 3143, 10327

Step-4: Factors of 72297

List of positive integer factors of 72297 that divides 72289 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72289 and 72297. The biggest common factor number is the GCF number.
So the greatest common factor 72289 and 72297 is 1.

Also check out the Least Common Multiple of 72289 and 72297