What is the Greatest Common Factor of 72753 and 72759?

Greatest common factor (GCF) of 72753 and 72759 is 3.

GCF(72753,72759) = 3

We will now calculate the prime factors of 72753 and 72759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72753 and 72759.

How to find the GCF of 72753 and 72759?

We will first find the prime factorization of 72753 and 72759. After we will calculate the factors of 72753 and 72759 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 72759

Prime factors of 72759 are 3, 79, 307. Prime factorization of 72759 in exponential form is:

72759 = 3¹ × 79¹ × 307¹

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 72759

List of positive integer factors of 72759 that divides 72753 without a remainder.

1, 3, 79, 237, 307, 921, 24253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72753 and 72759. The biggest common factor number is the GCF number.
So the greatest common factor 72753 and 72759 is 3.

Also check out the Least Common Multiple of 72753 and 72759