Greatest Common Factor of 786 and 789

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 786, 789 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 786 and 789 is 3.

GCF(786,789) = 3

GCF of 786 and 789

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

GCF of:
and

Greatest Common Factor of 786 and 789

GCF of 786 and 789 is 3

Prime Factorization of 786


2 786
3 393
131 131
1

Prime factors of 786 are 2,3,131. Prime factorization of 786 in exponential form is:

786 = 21×31×1311

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

∴ So by taking common prime factors GCF of 786 and 789 is 3

Greatest Common Factor of 786 and 789 by matching factors method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 789

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

1,3,263,789

Greatest Common Factor

We found the factors and prime factorization of 786 and 789. The biggest common factor number is the GCF number.
So the greatest common factor 786 and 789 is 3.

Also check out the Least Common Multiple of 786 and 789

Properties of GCF 786 and 789

(i) The GCF of 786 and 789 is associative

GCF of 786 and 789 = GCF of 789 and 786

Related Greatest Common Factor of 786

Related Greatest Common Factor of 789

Frequently Asked Questions on GCF of 786 and 789

1. What is the GCF of 786 and 789?

Answer: GCF of 786 and 789 is 3.

2. What are the Factors of 786?

Answer: Factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786. There are 8 integers that are factors of 786. The greatest factor of 786 is 786.

3. 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.

4. How to Find the GCF of 786 and 789?

Answer:

Greatest Common Factor of 786 and 789 = 3

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 789

789 = 3 x 263

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 786 and 789 is 3