What is the Greatest Common Factor of 66777 and 66789?

Greatest common factor (GCF) of 66777 and 66789 is 3.

GCF(66777,66789) = 3

We will now calculate the prime factors of 66777 and 66789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66777 and 66789.

How to find the GCF of 66777 and 66789?

We will first find the prime factorization of 66777 and 66789. After we will calculate the factors of 66777 and 66789 and find the biggest common factor number .

Step-1: Prime Factorization of 66777

Prime factors of 66777 are 3, 22259. Prime factorization of 66777 in exponential form is:

66777 = 3¹ × 22259¹

Step-2: Prime Factorization of 66789

Prime factors of 66789 are 3, 41, 181. Prime factorization of 66789 in exponential form is:

66789 = 3² × 41¹ × 181¹

Step-3: Factors of 66777

List of positive integer factors of 66777 that divides 66777 without a remainder.

1, 3, 22259

Step-4: Factors of 66789

List of positive integer factors of 66789 that divides 66777 without a remainder.

1, 3, 9, 41, 123, 181, 369, 543, 1629, 7421, 22263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66777 and 66789. The biggest common factor number is the GCF number.
So the greatest common factor 66777 and 66789 is 3.

Also check out the Least Common Multiple of 66777 and 66789