Greatest Common Factor of 777 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 777, 782 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 777 and 782 is 1.

GCF(777,782) = 1

GCF of 777 and 782

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

GCF of:
and

Greatest Common Factor of 777 and 782

GCF of 777 and 782 is 1

Prime Factorization of 777


3 777
7 259
37 37
1

Prime factors of 777 are 3,7,37. Prime factorization of 777 in exponential form is:

777 = 31×71×371

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 777 and 782 is 1

Greatest Common Factor of 777 and 782 by matching factors method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

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 777 and 782. The biggest common factor number is the GCF number.
So the greatest common factor 777 and 782 is 1.

Also check out the Least Common Multiple of 777 and 782

Properties of GCF 777 and 782

(i) The GCF of 777 and 782 is associative

GCF of 777 and 782 = GCF of 782 and 777

Related Greatest Common Factor of 777

Related Greatest Common Factor of 782

Frequently Asked Questions on GCF of 777 and 782

1. What is the GCF of 777 and 782?

Answer: GCF of 777 and 782 is 1.

2. What are the Factors of 777?

Answer: Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. There are 8 integers that are factors of 777. The greatest factor of 777 is 777.

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 777 and 782?

Answer:

Greatest Common Factor of 777 and 782 = 1

Step 1: Find the prime factorization of 777

777 = 3 x 7 x 37

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 = = 1

Step 4: Therefore, the greatest common factor of 777 and 782 is 1