What is the Greatest Common Factor of 78777 and 78789?

Greatest common factor (GCF) of 78777 and 78789 is 3.

GCF(78777,78789) = 3

We will now calculate the prime factors of 78777 and 78789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78777 and 78789.

How to find the GCF of 78777 and 78789?

We will first find the prime factorization of 78777 and 78789. After we will calculate the factors of 78777 and 78789 and find the biggest common factor number .

Step-1: Prime Factorization of 78777

Prime factors of 78777 are 3, 8753. Prime factorization of 78777 in exponential form is:

78777 = 3² × 8753¹

Step-2: Prime Factorization of 78789

Prime factors of 78789 are 3, 26263. Prime factorization of 78789 in exponential form is:

78789 = 3¹ × 26263¹

Step-3: Factors of 78777

List of positive integer factors of 78777 that divides 78777 without a remainder.

1, 3, 9, 8753, 26259

Step-4: Factors of 78789

List of positive integer factors of 78789 that divides 78777 without a remainder.

1, 3, 26263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78777 and 78789. The biggest common factor number is the GCF number.
So the greatest common factor 78777 and 78789 is 3.

Also check out the Least Common Multiple of 78777 and 78789