What is the Greatest Common Factor of 789 and 795?

Greatest common factor (GCF) of 789 and 795 is 3.

GCF(789,795) = 3

We will now calculate the prime factors of 789 and 795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 789 and 795.

How to find the GCF of 789 and 795?

We will first find the prime factorization of 789 and 795. After we will calculate the factors of 789 and 795 and find the biggest common factor number .

Step-1: Prime Factorization of 789

Prime factors of 789 are 3, 263. Prime factorization of 789 in exponential form is:

789 = 3¹ × 263¹

Step-2: Prime Factorization of 795

Prime factors of 795 are 3, 5, 53. Prime factorization of 795 in exponential form is:

795 = 3¹ × 5¹ × 53¹

Step-3: Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1, 3, 263

Step-4: Factors of 795

List of positive integer factors of 795 that divides 789 without a remainder.

1, 3, 5, 15, 53, 159, 265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 789 and 795. The biggest common factor number is the GCF number.
So the greatest common factor 789 and 795 is 3.

Also check out the Least Common Multiple of 789 and 795