Greatest Common Factor of 776 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 776, 782 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 776 and 782 is 2.

GCF(776,782) = 2

GCF of 776 and 782

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

GCF of:
and

Greatest Common Factor of 776 and 782

GCF of 776 and 782 is 2

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

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 776 and 782 is 2

Greatest Common Factor of 776 and 782 by matching factors method

Factors of 776

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

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

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 776 and 782. The biggest common factor number is the GCF number.
So the greatest common factor 776 and 782 is 2.

Also check out the Least Common Multiple of 776 and 782

Properties of GCF 776 and 782

(i) The GCF of 776 and 782 is associative

GCF of 776 and 782 = GCF of 782 and 776

Related Greatest Common Factor of 776

Related Greatest Common Factor of 782

Frequently Asked Questions on GCF of 776 and 782

1. What is the GCF of 776 and 782?

Answer: GCF of 776 and 782 is 2.

2. 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.

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 776 and 782?

Answer:

Greatest Common Factor of 776 and 782 = 2

Step 1: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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 776 and 782 is 2