Greatest Common Factor of 789 and 795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 789, 795 i.e. 3 largest integer by which both the numbers can be divided.

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

GCF(789,795) = 3

GCF of 789 and 795

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 789 and 795

GCF of 789 and 795 is 3

Prime Factorization of 789


3 789
263 263
1

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

789 = 31×2631

Prime Factorization of 795


3 795
5 265
53 53
1

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

795 = 31×51×531

∴ So by taking common prime factors GCF of 789 and 795 is 3

Greatest Common Factor of 789 and 795 by matching factors method

Factors of 789

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

1,3,263,789

Factors of 795

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

1,3,5,15,53,159,265,795

Greatest Common Factor

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

Properties of GCF 789 and 795

(i) The GCF of 789 and 795 is associative

GCF of 789 and 795 = GCF of 795 and 789

Related Greatest Common Factor of 789

Related Greatest Common Factor of 795

Frequently Asked Questions on GCF of 789 and 795

1. What is the GCF of 789 and 795?

Answer: GCF of 789 and 795 is 3.

2. What are the Factors of 789?

Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.

3. What are the Factors of 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

4. How to Find the GCF of 789 and 795?

Answer:

Greatest Common Factor of 789 and 795 = 3

Step 1: Find the prime factorization of 789

789 = 3 x 263

Step 2: Find the prime factorization of 795

795 = 3 x 5 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 789 and 795 is 3