Greatest Common Factor of 786 and 793

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

Greatest common factor (GCF) of 786 and 793 is 1.

GCF(786,793) = 1

GCF of 786 and 793

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

GCF of:
and

Greatest Common Factor of 786 and 793

GCF of 786 and 793 is 1

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 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

∴ So by taking common prime factors GCF of 786 and 793 is 1

Greatest Common Factor of 786 and 793 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 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors and prime factorization of 786 and 793. The biggest common factor number is the GCF number.
So the greatest common factor 786 and 793 is 1.

Also check out the Least Common Multiple of 786 and 793

Properties of GCF 786 and 793

(i) The GCF of 786 and 793 is associative

GCF of 786 and 793 = GCF of 793 and 786

Related Greatest Common Factor of 786

Related Greatest Common Factor of 793

Frequently Asked Questions on GCF of 786 and 793

1. What is the GCF of 786 and 793?

Answer: GCF of 786 and 793 is 1.

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 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

4. How to Find the GCF of 786 and 793?

Answer:

Greatest Common Factor of 786 and 793 = 1

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 793

793 = 13 x 61

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 786 and 793 is 1