Greatest Common Factor of 774 and 776

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

Greatest common factor (GCF) of 774 and 776 is 2.

GCF(774,776) = 2

GCF of 774 and 776

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

GCF of:
and

Greatest Common Factor of 774 and 776

GCF of 774 and 776 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 776


2 776
2 388
2 194
97 97
1

Prime factors of 776 are 2,97. Prime factorization of 776 in exponential form is:

776 = 23×971

∴ So by taking common prime factors GCF of 774 and 776 is 2

Greatest Common Factor of 774 and 776 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 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors and prime factorization of 774 and 776. The biggest common factor number is the GCF number.
So the greatest common factor 774 and 776 is 2.

Also check out the Least Common Multiple of 774 and 776

Properties of GCF 774 and 776

(i) The GCF of 774 and 776 is associative

GCF of 774 and 776 = GCF of 776 and 774

Related Greatest Common Factor of 774

Related Greatest Common Factor of 776

Frequently Asked Questions on GCF of 774 and 776

1. What is the GCF of 774 and 776?

Answer: GCF of 774 and 776 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 776?

Answer: Factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776. There are 8 integers that are factors of 776. The greatest factor of 776 is 776.

4. How to Find the GCF of 774 and 776?

Answer:

Greatest Common Factor of 774 and 776 = 2

Step 1: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

Step 2: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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 776 is 2