What is the Greatest Common Factor of 72009 and 72015?

Greatest common factor (GCF) of 72009 and 72015 is 3.

GCF(72009,72015) = 3

We will now calculate the prime factors of 72009 and 72015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72009 and 72015.

How to find the GCF of 72009 and 72015?

We will first find the prime factorization of 72009 and 72015. After we will calculate the factors of 72009 and 72015 and find the biggest common factor number .

Step-1: Prime Factorization of 72009

Prime factors of 72009 are 3, 7, 127. Prime factorization of 72009 in exponential form is:

72009 = 3⁴ × 7¹ × 127¹

Step-2: Prime Factorization of 72015

Prime factors of 72015 are 3, 5, 4801. Prime factorization of 72015 in exponential form is:

72015 = 3¹ × 5¹ × 4801¹

Step-3: Factors of 72009

List of positive integer factors of 72009 that divides 72009 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 127, 189, 381, 567, 889, 1143, 2667, 3429, 8001, 10287, 24003

Step-4: Factors of 72015

List of positive integer factors of 72015 that divides 72009 without a remainder.

1, 3, 5, 15, 4801, 14403, 24005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72009 and 72015. The biggest common factor number is the GCF number.
So the greatest common factor 72009 and 72015 is 3.

Also check out the Least Common Multiple of 72009 and 72015