What is the Greatest Common Factor of 72447 and 72459?

Greatest common factor (GCF) of 72447 and 72459 is 3.

GCF(72447,72459) = 3

We will now calculate the prime factors of 72447 and 72459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72447 and 72459.

How to find the GCF of 72447 and 72459?

We will first find the prime factorization of 72447 and 72459. After we will calculate the factors of 72447 and 72459 and find the biggest common factor number .

Step-1: Prime Factorization of 72447

Prime factors of 72447 are 3, 19, 31, 41. Prime factorization of 72447 in exponential form is:

72447 = 3¹ × 19¹ × 31¹ × 41¹

Step-2: Prime Factorization of 72459

Prime factors of 72459 are 3, 83, 97. Prime factorization of 72459 in exponential form is:

72459 = 3² × 83¹ × 97¹

Step-3: Factors of 72447

List of positive integer factors of 72447 that divides 72447 without a remainder.

1, 3, 19, 31, 41, 57, 93, 123, 589, 779, 1271, 1767, 2337, 3813, 24149

Step-4: Factors of 72459

List of positive integer factors of 72459 that divides 72447 without a remainder.

1, 3, 9, 83, 97, 249, 291, 747, 873, 8051, 24153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72447 and 72459. The biggest common factor number is the GCF number.
So the greatest common factor 72447 and 72459 is 3.

Also check out the Least Common Multiple of 72447 and 72459