What is the Greatest Common Factor of 72789 and 72807?

Greatest common factor (GCF) of 72789 and 72807 is 3.

GCF(72789,72807) = 3

We will now calculate the prime factors of 72789 and 72807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72789 and 72807.

How to find the GCF of 72789 and 72807?

We will first find the prime factorization of 72789 and 72807. After we will calculate the factors of 72789 and 72807 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 72807

Prime factors of 72807 are 3, 7, 3467. Prime factorization of 72807 in exponential form is:

72807 = 3¹ × 7¹ × 3467¹

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 72807

List of positive integer factors of 72807 that divides 72789 without a remainder.

1, 3, 7, 21, 3467, 10401, 24269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72789 and 72807. The biggest common factor number is the GCF number.
So the greatest common factor 72789 and 72807 is 3.

Also check out the Least Common Multiple of 72789 and 72807