What is the Greatest Common Factor of 72447 and 72453?

Greatest common factor (GCF) of 72447 and 72453 is 3.

GCF(72447,72453) = 3

We will now calculate the prime factors of 72447 and 72453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72447 and 72453.

How to find the GCF of 72447 and 72453?

We will first find the prime factorization of 72447 and 72453. After we will calculate the factors of 72447 and 72453 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 72453

Prime factors of 72453 are 3, 24151. Prime factorization of 72453 in exponential form is:

72453 = 3¹ × 24151¹

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 72453

List of positive integer factors of 72453 that divides 72447 without a remainder.

1, 3, 24151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72447 and 72453. The biggest common factor number is the GCF number.
So the greatest common factor 72447 and 72453 is 3.

Also check out the Least Common Multiple of 72447 and 72453