What is the Greatest Common Factor of 72809 and 72823?

Greatest common factor (GCF) of 72809 and 72823 is 1.

GCF(72809,72823) = 1

We will now calculate the prime factors of 72809 and 72823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72809 and 72823.

How to find the GCF of 72809 and 72823?

We will first find the prime factorization of 72809 and 72823. After we will calculate the factors of 72809 and 72823 and find the biggest common factor number .

Step-1: Prime Factorization of 72809

Prime factors of 72809 are 11, 6619. Prime factorization of 72809 in exponential form is:

72809 = 11¹ × 6619¹

Step-2: Prime Factorization of 72823

Prime factors of 72823 are 72823. Prime factorization of 72823 in exponential form is:

72823 = 72823¹

Step-3: Factors of 72809

List of positive integer factors of 72809 that divides 72809 without a remainder.

1, 11, 6619

Step-4: Factors of 72823

List of positive integer factors of 72823 that divides 72809 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72809 and 72823. The biggest common factor number is the GCF number.
So the greatest common factor 72809 and 72823 is 1.

Also check out the Least Common Multiple of 72809 and 72823