Greatest Common Factor of 7790 and 7795

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 7790, 7795 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7790 and 7795 is 5.

GCF(7790,7795) = 5

GCF of 7790 and 7795

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

GCF of:
and

Greatest Common Factor of 7790 and 7795

GCF of 7790 and 7795 is 5

Prime Factorization of 7790


2 7790
5 3895
19 779
41 41
1

Prime factors of 7790 are 2,5,19,41. Prime factorization of 7790 in exponential form is:

7790 = 21×51×191×411

Prime Factorization of 7795


5 7795
1559 1559
1

Prime factors of 7795 are 5,1559. Prime factorization of 7795 in exponential form is:

7795 = 51×15591

∴ So by taking common prime factors GCF of 7790 and 7795 is 5

Greatest Common Factor of 7790 and 7795 by matching factors method

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Factors of 7795

List of positive integer factors of 7795 that divides 7795 without a remainder.

1,5,1559,7795

Greatest Common Factor

We found the factors and prime factorization of 7790 and 7795. The biggest common factor number is the GCF number.
So the greatest common factor 7790 and 7795 is 5.

Also check out the Least Common Multiple of 7790 and 7795

Properties of GCF 7790 and 7795

(i) The GCF of 7790 and 7795 is associative

GCF of 7790 and 7795 = GCF of 7795 and 7790

Related Greatest Common Factor of 7790

Related Greatest Common Factor of 7795

Frequently Asked Questions on GCF of 7790 and 7795

1. What is the GCF of 7790 and 7795?

Answer: GCF of 7790 and 7795 is 5.

2. What are the Factors of 7790?

Answer: Factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790. There are 16 integers that are factors of 7790. The greatest factor of 7790 is 7790.

3. What are the Factors of 7795?

Answer: Factors of 7795 are 1, 5, 1559, 7795. There are 4 integers that are factors of 7795. The greatest factor of 7795 is 7795.

4. How to Find the GCF of 7790 and 7795?

Answer:

Greatest Common Factor of 7790 and 7795 = 5

Step 1: Find the prime factorization of 7790

7790 = 2 x 5 x 19 x 41

Step 2: Find the prime factorization of 7795

7795 = 5 x 1559

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7790 and 7795 is 5