What is the Greatest Common Factor of 72909 and 72923?

Greatest common factor (GCF) of 72909 and 72923 is 1.

GCF(72909,72923) = 1

We will now calculate the prime factors of 72909 and 72923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72909 and 72923.

How to find the GCF of 72909 and 72923?

We will first find the prime factorization of 72909 and 72923. After we will calculate the factors of 72909 and 72923 and find the biggest common factor number .

Step-1: Prime Factorization of 72909

Prime factors of 72909 are 3, 8101. Prime factorization of 72909 in exponential form is:

72909 = 3² × 8101¹

Step-2: Prime Factorization of 72923

Prime factors of 72923 are 72923. Prime factorization of 72923 in exponential form is:

72923 = 72923¹

Step-3: Factors of 72909

List of positive integer factors of 72909 that divides 72909 without a remainder.

1, 3, 9, 8101, 24303

Step-4: Factors of 72923

List of positive integer factors of 72923 that divides 72909 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72909 and 72923. The biggest common factor number is the GCF number.
So the greatest common factor 72909 and 72923 is 1.

Also check out the Least Common Multiple of 72909 and 72923