What is the Greatest Common Factor of 72909 and 72929?

Greatest common factor (GCF) of 72909 and 72929 is 1.

GCF(72909,72929) = 1

We will now calculate the prime factors of 72909 and 72929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72909 and 72929.

How to find the GCF of 72909 and 72929?

We will first find the prime factorization of 72909 and 72929. After we will calculate the factors of 72909 and 72929 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 72929

Prime factors of 72929 are 233, 313. Prime factorization of 72929 in exponential form is:

72929 = 233¹ × 313¹

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 72929

List of positive integer factors of 72929 that divides 72909 without a remainder.

1, 233, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72909 and 72929. The biggest common factor number is the GCF number.
So the greatest common factor 72909 and 72929 is 1.

Also check out the Least Common Multiple of 72909 and 72929