What is the Greatest Common Factor of 72753 and 72765?

Greatest common factor (GCF) of 72753 and 72765 is 3.

GCF(72753,72765) = 3

We will now calculate the prime factors of 72753 and 72765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72753 and 72765.

How to find the GCF of 72753 and 72765?

We will first find the prime factorization of 72753 and 72765. After we will calculate the factors of 72753 and 72765 and find the biggest common factor number .

Step-1: Prime Factorization of 72753

Prime factors of 72753 are 3, 24251. Prime factorization of 72753 in exponential form is:

72753 = 3¹ × 24251¹

Step-2: 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-3: Factors of 72753

List of positive integer factors of 72753 that divides 72753 without a remainder.

1, 3, 24251

Step-4: Factors of 72765

List of positive integer factors of 72765 that divides 72753 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72753 and 72765. The biggest common factor number is the GCF number.
So the greatest common factor 72753 and 72765 is 3.

Also check out the Least Common Multiple of 72753 and 72765