What is the Greatest Common Factor of 72789 and 72804?

Greatest common factor (GCF) of 72789 and 72804 is 3.

GCF(72789,72804) = 3

We will now calculate the prime factors of 72789 and 72804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72789 and 72804.

How to find the GCF of 72789 and 72804?

We will first find the prime factorization of 72789 and 72804. After we will calculate the factors of 72789 and 72804 and find the biggest common factor number .

Step-1: Prime Factorization of 72789

Prime factors of 72789 are 3, 19, 1277. Prime factorization of 72789 in exponential form is:

72789 = 3¹ × 19¹ × 1277¹

Step-2: Prime Factorization of 72804

Prime factors of 72804 are 2, 3, 6067. Prime factorization of 72804 in exponential form is:

72804 = 2² × 3¹ × 6067¹

Step-3: Factors of 72789

List of positive integer factors of 72789 that divides 72789 without a remainder.

1, 3, 19, 57, 1277, 3831, 24263

Step-4: Factors of 72804

List of positive integer factors of 72804 that divides 72789 without a remainder.

1, 2, 3, 4, 6, 12, 6067, 12134, 18201, 24268, 36402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72789 and 72804. The biggest common factor number is the GCF number.
So the greatest common factor 72789 and 72804 is 3.

Also check out the Least Common Multiple of 72789 and 72804