Greatest Common Factor of 786 and 794

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, 794 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 786 and 794 is 2.

GCF(786,794) = 2

GCF of 786 and 794

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

GCF of:
and

Greatest Common Factor of 786 and 794

GCF of 786 and 794 is 2

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 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

∴ So by taking common prime factors GCF of 786 and 794 is 2

Greatest Common Factor of 786 and 794 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 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors and prime factorization of 786 and 794. The biggest common factor number is the GCF number.
So the greatest common factor 786 and 794 is 2.

Also check out the Least Common Multiple of 786 and 794

Properties of GCF 786 and 794

(i) The GCF of 786 and 794 is associative

GCF of 786 and 794 = GCF of 794 and 786

Related Greatest Common Factor of 786

Related Greatest Common Factor of 794

Frequently Asked Questions on GCF of 786 and 794

1. What is the GCF of 786 and 794?

Answer: GCF of 786 and 794 is 2.

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 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

4. How to Find the GCF of 786 and 794?

Answer:

Greatest Common Factor of 786 and 794 = 2

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 794

794 = 2 x 397

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

GCF = 2

Step 4: Therefore, the greatest common factor of 786 and 794 is 2