What is the Greatest Common Factor of 60789 and 60795?

Greatest common factor (GCF) of 60789 and 60795 is 3.

GCF(60789,60795) = 3

We will now calculate the prime factors of 60789 and 60795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60789 and 60795.

How to find the GCF of 60789 and 60795?

We will first find the prime factorization of 60789 and 60795. After we will calculate the factors of 60789 and 60795 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60795

Prime factors of 60795 are 3, 5, 7, 193. Prime factorization of 60795 in exponential form is:

60795 = 3² × 5¹ × 7¹ × 193¹

Step-3: Factors of 60789

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

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

Step-4: Factors of 60795

List of positive integer factors of 60795 that divides 60789 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 193, 315, 579, 965, 1351, 1737, 2895, 4053, 6755, 8685, 12159, 20265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60789 and 60795. The biggest common factor number is the GCF number.
So the greatest common factor 60789 and 60795 is 3.

Also check out the Least Common Multiple of 60789 and 60795