Greatest Common Factor of 777 and 783

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, 783 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 777 and 783 is 3.

GCF(777,783) = 3

GCF of 777 and 783

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

GCF of:
and

Greatest Common Factor of 777 and 783

GCF of 777 and 783 is 3

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 783


3 783
3 261
3 87
29 29
1

Prime factors of 783 are 3,29. Prime factorization of 783 in exponential form is:

783 = 33×291

∴ So by taking common prime factors GCF of 777 and 783 is 3

Greatest Common Factor of 777 and 783 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 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors and prime factorization of 777 and 783. The biggest common factor number is the GCF number.
So the greatest common factor 777 and 783 is 3.

Also check out the Least Common Multiple of 777 and 783

Properties of GCF 777 and 783

(i) The GCF of 777 and 783 is associative

GCF of 777 and 783 = GCF of 783 and 777

Related Greatest Common Factor of 777

Related Greatest Common Factor of 783

Frequently Asked Questions on GCF of 777 and 783

1. What is the GCF of 777 and 783?

Answer: GCF of 777 and 783 is 3.

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 783?

Answer: Factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783. There are 8 integers that are factors of 783. The greatest factor of 783 is 783.

4. How to Find the GCF of 777 and 783?

Answer:

Greatest Common Factor of 777 and 783 = 3

Step 1: Find the prime factorization of 777

777 = 3 x 7 x 37

Step 2: Find the prime factorization of 783

783 = 3 x 3 x 3 x 29

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

GCF = 3

Step 4: Therefore, the greatest common factor of 777 and 783 is 3