Greatest Common Factor of 770 and 777

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 770, 777 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 770 and 777 is 7.

GCF(770,777) = 7

GCF of 770 and 777

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

GCF of:
and

Greatest Common Factor of 770 and 777

GCF of 770 and 777 is 7

Prime Factorization of 770


2 770
5 385
7 77
11 11
1

Prime factors of 770 are 2,5,7,11. Prime factorization of 770 in exponential form is:

770 = 21×51×71×111

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

∴ So by taking common prime factors GCF of 770 and 777 is 7

Greatest Common Factor of 770 and 777 by matching factors method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 777

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

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

Greatest Common Factor

We found the factors and prime factorization of 770 and 777. The biggest common factor number is the GCF number.
So the greatest common factor 770 and 777 is 7.

Also check out the Least Common Multiple of 770 and 777

Properties of GCF 770 and 777

(i) The GCF of 770 and 777 is associative

GCF of 770 and 777 = GCF of 777 and 770

Related Greatest Common Factor of 770

Related Greatest Common Factor of 777

Frequently Asked Questions on GCF of 770 and 777

1. What is the GCF of 770 and 777?

Answer: GCF of 770 and 777 is 7.

2. What are the Factors of 770?

Answer: Factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. There are 16 integers that are factors of 770. The greatest factor of 770 is 770.

3. 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.

4. How to Find the GCF of 770 and 777?

Answer:

Greatest Common Factor of 770 and 777 = 7

Step 1: Find the prime factorization of 770

770 = 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 777

777 = 3 x 7 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 770 and 777 is 7