Greatest Common Factor of 775 and 779

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 775, 779 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 775 and 779 is 1.

GCF(775,779) = 1

GCF of 775 and 779

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

GCF of:
and

Greatest Common Factor of 775 and 779

GCF of 775 and 779 is 1

Prime Factorization of 775


5 775
5 155
31 31
1

Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:

775 = 52×311

Prime Factorization of 779


19 779
41 41
1

Prime factors of 779 are 19,41. Prime factorization of 779 in exponential form is:

779 = 191×411

∴ So by taking common prime factors GCF of 775 and 779 is 1

Greatest Common Factor of 775 and 779 by matching factors method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors and prime factorization of 775 and 779. The biggest common factor number is the GCF number.
So the greatest common factor 775 and 779 is 1.

Also check out the Least Common Multiple of 775 and 779

Properties of GCF 775 and 779

(i) The GCF of 775 and 779 is associative

GCF of 775 and 779 = GCF of 779 and 775

Related Greatest Common Factor of 775

Related Greatest Common Factor of 779

Frequently Asked Questions on GCF of 775 and 779

1. What is the GCF of 775 and 779?

Answer: GCF of 775 and 779 is 1.

2. What are the Factors of 775?

Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.

3. What are the Factors of 779?

Answer: Factors of 779 are 1, 19, 41, 779. There are 4 integers that are factors of 779. The greatest factor of 779 is 779.

4. How to Find the GCF of 775 and 779?

Answer:

Greatest Common Factor of 775 and 779 = 1

Step 1: Find the prime factorization of 775

775 = 5 x 5 x 31

Step 2: Find the prime factorization of 779

779 = 19 x 41

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 775 and 779 is 1