Greatest Common Factor of 789 and 796

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, 796 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 789 and 796 is 1.

GCF(789,796) = 1

GCF of 789 and 796

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

GCF of:
and

Greatest Common Factor of 789 and 796

GCF of 789 and 796 is 1

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 796


2 796
2 398
199 199
1

Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:

796 = 22×1991

∴ So by taking common prime factors GCF of 789 and 796 is 1

Greatest Common Factor of 789 and 796 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 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors and prime factorization of 789 and 796. The biggest common factor number is the GCF number.
So the greatest common factor 789 and 796 is 1.

Also check out the Least Common Multiple of 789 and 796

Properties of GCF 789 and 796

(i) The GCF of 789 and 796 is associative

GCF of 789 and 796 = GCF of 796 and 789

Related Greatest Common Factor of 789

Related Greatest Common Factor of 796

Frequently Asked Questions on GCF of 789 and 796

1. What is the GCF of 789 and 796?

Answer: GCF of 789 and 796 is 1.

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 796?

Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.

4. How to Find the GCF of 789 and 796?

Answer:

Greatest Common Factor of 789 and 796 = 1

Step 1: Find the prime factorization of 789

789 = 3 x 263

Step 2: Find the prime factorization of 796

796 = 2 x 2 x 199

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 789 and 796 is 1