What is the Greatest Common Factor of 72882 and 72900?

Greatest common factor (GCF) of 72882 and 72900 is 18.

GCF(72882,72900) = 18

We will now calculate the prime factors of 72882 and 72900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72882 and 72900.

How to find the GCF of 72882 and 72900?

We will first find the prime factorization of 72882 and 72900. After we will calculate the factors of 72882 and 72900 and find the biggest common factor number .

Step-1: Prime Factorization of 72882

Prime factors of 72882 are 2, 3, 4049. Prime factorization of 72882 in exponential form is:

72882 = 2¹ × 3² × 4049¹

Step-2: 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-3: Factors of 72882

List of positive integer factors of 72882 that divides 72882 without a remainder.

1, 2, 3, 6, 9, 18, 4049, 8098, 12147, 24294, 36441

Step-4: Factors of 72900

List of positive integer factors of 72900 that divides 72882 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72882 and 72900. The biggest common factor number is the GCF number.
So the greatest common factor 72882 and 72900 is 18.

Also check out the Least Common Multiple of 72882 and 72900