Greatest Common Factor of 774 and 778

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 774, 778 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 774 and 778 is 2.

GCF(774,778) = 2

GCF of 774 and 778

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

GCF of:
and

Greatest Common Factor of 774 and 778

GCF of 774 and 778 is 2

Prime Factorization of 774


2 774
3 387
3 129
43 43
1

Prime factors of 774 are 2,3,43. Prime factorization of 774 in exponential form is:

774 = 21×32×431

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

∴ So by taking common prime factors GCF of 774 and 778 is 2

Greatest Common Factor of 774 and 778 by matching factors method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 778

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

1,2,389,778

Greatest Common Factor

We found the factors and prime factorization of 774 and 778. The biggest common factor number is the GCF number.
So the greatest common factor 774 and 778 is 2.

Also check out the Least Common Multiple of 774 and 778

Properties of GCF 774 and 778

(i) The GCF of 774 and 778 is associative

GCF of 774 and 778 = GCF of 778 and 774

Related Greatest Common Factor of 774

Related Greatest Common Factor of 778

Frequently Asked Questions on GCF of 774 and 778

1. What is the GCF of 774 and 778?

Answer: GCF of 774 and 778 is 2.

2. What are the Factors of 774?

Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.

3. 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.

4. How to Find the GCF of 774 and 778?

Answer:

Greatest Common Factor of 774 and 778 = 2

Step 1: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

Step 2: Find the prime factorization of 778

778 = 2 x 389

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 774 and 778 is 2