What is the Greatest Common Factor of 72900 and 72909?

Greatest common factor (GCF) of 72900 and 72909 is 9.

GCF(72900,72909) = 9

We will now calculate the prime factors of 72900 and 72909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72900 and 72909.

How to find the GCF of 72900 and 72909?

We will first find the prime factorization of 72900 and 72909. After we will calculate the factors of 72900 and 72909 and find the biggest common factor number .

Step-1: Prime Factorization of 72900

Prime factors of 72900 are 2, 3, 5. Prime factorization of 72900 in exponential form is:

72900 = 2² × 3⁶ × 5²

Step-2: Prime Factorization of 72909

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

72909 = 3² × 8101¹

Step-3: Factors of 72900

List of positive integer factors of 72900 that divides 72900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 243, 270, 300, 324, 405, 450, 486, 540, 675, 729, 810, 900, 972, 1215, 1350, 1458, 1620, 2025, 2430, 2700, 2916, 3645, 4050, 4860, 6075, 7290, 8100, 12150, 14580, 18225, 24300, 36450

Step-4: Factors of 72909

List of positive integer factors of 72909 that divides 72900 without a remainder.

1, 3, 9, 8101, 24303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72900 and 72909. The biggest common factor number is the GCF number.
So the greatest common factor 72900 and 72909 is 9.

Also check out the Least Common Multiple of 72900 and 72909