What is the Greatest Common Factor of 72009 and 72021?

Greatest common factor (GCF) of 72009 and 72021 is 3.

GCF(72009,72021) = 3

We will now calculate the prime factors of 72009 and 72021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72009 and 72021.

How to find the GCF of 72009 and 72021?

We will first find the prime factorization of 72009 and 72021. After we will calculate the factors of 72009 and 72021 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 72021

Prime factors of 72021 are 3, 24007. Prime factorization of 72021 in exponential form is:

72021 = 3¹ × 24007¹

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 72021

List of positive integer factors of 72021 that divides 72009 without a remainder.

1, 3, 24007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72009 and 72021. The biggest common factor number is the GCF number.
So the greatest common factor 72009 and 72021 is 3.

Also check out the Least Common Multiple of 72009 and 72021