What is the Greatest Common Factor of 72777 and 72783?

Greatest common factor (GCF) of 72777 and 72783 is 3.

GCF(72777,72783) = 3

We will now calculate the prime factors of 72777 and 72783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72777 and 72783.

How to find the GCF of 72777 and 72783?

We will first find the prime factorization of 72777 and 72783. After we will calculate the factors of 72777 and 72783 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72783

Prime factors of 72783 are 3, 8087. Prime factorization of 72783 in exponential form is:

72783 = 3² × 8087¹

Step-3: Factors of 72777

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

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

Step-4: Factors of 72783

List of positive integer factors of 72783 that divides 72777 without a remainder.

1, 3, 9, 8087, 24261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72777 and 72783. The biggest common factor number is the GCF number.
So the greatest common factor 72777 and 72783 is 3.

Also check out the Least Common Multiple of 72777 and 72783