Greatest Common Factor of 783 and 786

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 783, 786 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 783 and 786 is 3.

GCF(783,786) = 3

GCF of 783 and 786

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

GCF of:
and

Greatest Common Factor of 783 and 786

GCF of 783 and 786 is 3

Prime Factorization of 783


3 783
3 261
3 87
29 29
1

Prime factors of 783 are 3,29. Prime factorization of 783 in exponential form is:

783 = 33×291

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

∴ So by taking common prime factors GCF of 783 and 786 is 3

Greatest Common Factor of 783 and 786 by matching factors method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 786

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

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

Greatest Common Factor

We found the factors and prime factorization of 783 and 786. The biggest common factor number is the GCF number.
So the greatest common factor 783 and 786 is 3.

Also check out the Least Common Multiple of 783 and 786

Properties of GCF 783 and 786

(i) The GCF of 783 and 786 is associative

GCF of 783 and 786 = GCF of 786 and 783

Related Greatest Common Factor of 783

Related Greatest Common Factor of 786

Frequently Asked Questions on GCF of 783 and 786

1. What is the GCF of 783 and 786?

Answer: GCF of 783 and 786 is 3.

2. What are the Factors of 783?

Answer: Factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783. There are 8 integers that are factors of 783. The greatest factor of 783 is 783.

3. 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.

4. How to Find the GCF of 783 and 786?

Answer:

Greatest Common Factor of 783 and 786 = 3

Step 1: Find the prime factorization of 783

783 = 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 786

786 = 2 x 3 x 131

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 783 and 786 is 3