What is the Greatest Common Factor of 789 and 793?

Greatest common factor (GCF) of 789 and 793 is 1.

GCF(789,793) = 1

We will now calculate the prime factors of 789 and 793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 789 and 793.

How to find the GCF of 789 and 793?

We will first find the prime factorization of 789 and 793. After we will calculate the factors of 789 and 793 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 793

Prime factors of 793 are 13, 61. Prime factorization of 793 in exponential form is:

793 = 13¹ × 61¹

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 793

List of positive integer factors of 793 that divides 789 without a remainder.

1, 13, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 789 and 793. The biggest common factor number is the GCF number.
So the greatest common factor 789 and 793 is 1.

Also check out the Least Common Multiple of 789 and 793