What is the Greatest Common Factor of 72759 and 72767?

Greatest common factor (GCF) of 72759 and 72767 is 1.

GCF(72759,72767) = 1

We will now calculate the prime factors of 72759 and 72767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72759 and 72767.

How to find the GCF of 72759 and 72767?

We will first find the prime factorization of 72759 and 72767. After we will calculate the factors of 72759 and 72767 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 72767

Prime factors of 72767 are 72767. Prime factorization of 72767 in exponential form is:

72767 = 72767¹

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 72767

List of positive integer factors of 72767 that divides 72759 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72759 and 72767. The biggest common factor number is the GCF number.
So the greatest common factor 72759 and 72767 is 1.

Also check out the Least Common Multiple of 72759 and 72767