Greatest Common Factor of 778 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 778, 786 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 778 and 786 is 2.

GCF(778,786) = 2

GCF of 778 and 786

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

GCF of:
and

Greatest Common Factor of 778 and 786

GCF of 778 and 786 is 2

Prime Factorization of 778


2 778
389 389
1

Prime factors of 778 are 2,389. Prime factorization of 778 in exponential form is:

778 = 21×3891

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 778 and 786 is 2

Greatest Common Factor of 778 and 786 by matching factors method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

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 778 and 786. The biggest common factor number is the GCF number.
So the greatest common factor 778 and 786 is 2.

Also check out the Least Common Multiple of 778 and 786

Properties of GCF 778 and 786

(i) The GCF of 778 and 786 is associative

GCF of 778 and 786 = GCF of 786 and 778

Related Greatest Common Factor of 778

Related Greatest Common Factor of 786

Frequently Asked Questions on GCF of 778 and 786

1. What is the GCF of 778 and 786?

Answer: GCF of 778 and 786 is 2.

2. What are the Factors of 778?

Answer: Factors of 778 are 1, 2, 389, 778. There are 4 integers that are factors of 778. The greatest factor of 778 is 778.

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 778 and 786?

Answer:

Greatest Common Factor of 778 and 786 = 2

Step 1: Find the prime factorization of 778

778 = 2 x 389

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 = 2

Step 4: Therefore, the greatest common factor of 778 and 786 is 2