What is the Greatest Common Factor of 72765 and 72771?

Greatest common factor (GCF) of 72765 and 72771 is 3.

GCF(72765,72771) = 3

We will now calculate the prime factors of 72765 and 72771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72765 and 72771.

How to find the GCF of 72765 and 72771?

We will first find the prime factorization of 72765 and 72771. After we will calculate the factors of 72765 and 72771 and find the biggest common factor number .

Step-1: Prime Factorization of 72765

Prime factors of 72765 are 3, 5, 7, 11. Prime factorization of 72765 in exponential form is:

72765 = 3³ × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 72771

Prime factors of 72771 are 3, 127, 191. Prime factorization of 72771 in exponential form is:

72771 = 3¹ × 127¹ × 191¹

Step-3: Factors of 72765

List of positive integer factors of 72765 that divides 72765 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 27, 33, 35, 45, 49, 55, 63, 77, 99, 105, 135, 147, 165, 189, 231, 245, 297, 315, 385, 441, 495, 539, 693, 735, 945, 1155, 1323, 1485, 1617, 2079, 2205, 2695, 3465, 4851, 6615, 8085, 10395, 14553, 24255

Step-4: Factors of 72771

List of positive integer factors of 72771 that divides 72765 without a remainder.

1, 3, 127, 191, 381, 573, 24257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72765 and 72771. The biggest common factor number is the GCF number.
So the greatest common factor 72765 and 72771 is 3.

Also check out the Least Common Multiple of 72765 and 72771