What is the Greatest Common Factor of 72759 and 72777?

Greatest common factor (GCF) of 72759 and 72777 is 3.

GCF(72759,72777) = 3

We will now calculate the prime factors of 72759 and 72777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72759 and 72777.

How to find the GCF of 72759 and 72777?

We will first find the prime factorization of 72759 and 72777. After we will calculate the factors of 72759 and 72777 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72777

Prime factors of 72777 are 3, 17, 1427. Prime factorization of 72777 in exponential form is:

72777 = 3¹ × 17¹ × 1427¹

Step-3: Factors of 72759

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

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

Step-4: Factors of 72777

List of positive integer factors of 72777 that divides 72759 without a remainder.

1, 3, 17, 51, 1427, 4281, 24259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72759 and 72777. The biggest common factor number is the GCF number.
So the greatest common factor 72759 and 72777 is 3.

Also check out the Least Common Multiple of 72759 and 72777