What is the Greatest Common Factor of 60777 and 60789?

Greatest common factor (GCF) of 60777 and 60789 is 3.

GCF(60777,60789) = 3

We will now calculate the prime factors of 60777 and 60789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60777 and 60789.

How to find the GCF of 60777 and 60789?

We will first find the prime factorization of 60777 and 60789. After we will calculate the factors of 60777 and 60789 and find the biggest common factor number .

Step-1: Prime Factorization of 60777

Prime factors of 60777 are 3, 2251. Prime factorization of 60777 in exponential form is:

60777 = 3³ × 2251¹

Step-2: Prime Factorization of 60789

Prime factors of 60789 are 3, 23, 881. Prime factorization of 60789 in exponential form is:

60789 = 3¹ × 23¹ × 881¹

Step-3: Factors of 60777

List of positive integer factors of 60777 that divides 60777 without a remainder.

1, 3, 9, 27, 2251, 6753, 20259

Step-4: Factors of 60789

List of positive integer factors of 60789 that divides 60777 without a remainder.

1, 3, 23, 69, 881, 2643, 20263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60777 and 60789. The biggest common factor number is the GCF number.
So the greatest common factor 60777 and 60789 is 3.

Also check out the Least Common Multiple of 60777 and 60789