Greatest Common Factor of 7798 and 7804

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 7798, 7804 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7798 and 7804 is 2.

GCF(7798,7804) = 2

GCF of 7798 and 7804

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

GCF of:
and

Greatest Common Factor of 7798 and 7804

GCF of 7798 and 7804 is 2

Prime Factorization of 7798


2 7798
7 3899
557 557
1

Prime factors of 7798 are 2,7,557. Prime factorization of 7798 in exponential form is:

7798 = 21×71×5571

Prime Factorization of 7804


2 7804
2 3902
1951 1951
1

Prime factors of 7804 are 2,1951. Prime factorization of 7804 in exponential form is:

7804 = 22×19511

∴ So by taking common prime factors GCF of 7798 and 7804 is 2

Greatest Common Factor of 7798 and 7804 by matching factors method

Factors of 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1,2,7,14,557,1114,3899,7798

Factors of 7804

List of positive integer factors of 7804 that divides 7804 without a remainder.

1,2,4,1951,3902,7804

Greatest Common Factor

We found the factors and prime factorization of 7798 and 7804. The biggest common factor number is the GCF number.
So the greatest common factor 7798 and 7804 is 2.

Also check out the Least Common Multiple of 7798 and 7804

Properties of GCF 7798 and 7804

(i) The GCF of 7798 and 7804 is associative

GCF of 7798 and 7804 = GCF of 7804 and 7798

Related Greatest Common Factor of 7798

Related Greatest Common Factor of 7804

Frequently Asked Questions on GCF of 7798 and 7804

1. What is the GCF of 7798 and 7804?

Answer: GCF of 7798 and 7804 is 2.

2. What are the Factors of 7798?

Answer: Factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798. There are 8 integers that are factors of 7798. The greatest factor of 7798 is 7798.

3. What are the Factors of 7804?

Answer: Factors of 7804 are 1, 2, 4, 1951, 3902, 7804. There are 6 integers that are factors of 7804. The greatest factor of 7804 is 7804.

4. How to Find the GCF of 7798 and 7804?

Answer:

Greatest Common Factor of 7798 and 7804 = 2

Step 1: Find the prime factorization of 7798

7798 = 2 x 7 x 557

Step 2: Find the prime factorization of 7804

7804 = 2 x 2 x 1951

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7798 and 7804 is 2