Greatest Common Factor of 777 and 785

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, 785 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 777 and 785 is 1.

GCF(777,785) = 1

GCF of 777 and 785

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

GCF of:
and

Greatest Common Factor of 777 and 785

GCF of 777 and 785 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 785


5 785
157 157
1

Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:

785 = 51×1571

∴ So by taking common prime factors GCF of 777 and 785 is 1

Greatest Common Factor of 777 and 785 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 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors and prime factorization of 777 and 785. The biggest common factor number is the GCF number.
So the greatest common factor 777 and 785 is 1.

Also check out the Least Common Multiple of 777 and 785

Properties of GCF 777 and 785

(i) The GCF of 777 and 785 is associative

GCF of 777 and 785 = GCF of 785 and 777

Related Greatest Common Factor of 777

Related Greatest Common Factor of 785

Frequently Asked Questions on GCF of 777 and 785

1. What is the GCF of 777 and 785?

Answer: GCF of 777 and 785 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 785?

Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.

4. How to Find the GCF of 777 and 785?

Answer:

Greatest Common Factor of 777 and 785 = 1

Step 1: Find the prime factorization of 777

777 = 3 x 7 x 37

Step 2: Find the prime factorization of 785

785 = 5 x 157

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 785 is 1