Greatest Common Factor of 778 and 782

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

Greatest common factor (GCF) of 778 and 782 is 2.

GCF(778,782) = 2

GCF of 778 and 782

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

GCF of:
and

Greatest Common Factor of 778 and 782

GCF of 778 and 782 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 782


2 782
17 391
23 23
1

Prime factors of 782 are 2,17,23. Prime factorization of 782 in exponential form is:

782 = 21×171×231

∴ So by taking common prime factors GCF of 778 and 782 is 2

Greatest Common Factor of 778 and 782 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 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors and prime factorization of 778 and 782. The biggest common factor number is the GCF number.
So the greatest common factor 778 and 782 is 2.

Also check out the Least Common Multiple of 778 and 782

Properties of GCF 778 and 782

(i) The GCF of 778 and 782 is associative

GCF of 778 and 782 = GCF of 782 and 778

Related Greatest Common Factor of 778

Related Greatest Common Factor of 782

Frequently Asked Questions on GCF of 778 and 782

1. What is the GCF of 778 and 782?

Answer: GCF of 778 and 782 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 782?

Answer: Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. There are 8 integers that are factors of 782. The greatest factor of 782 is 782.

4. How to Find the GCF of 778 and 782?

Answer:

Greatest Common Factor of 778 and 782 = 2

Step 1: Find the prime factorization of 778

778 = 2 x 389

Step 2: Find the prime factorization of 782

782 = 2 x 17 x 23

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 782 is 2