Greatest Common Factor of 7796 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 7796, 7804 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7796 and 7804 is 4.

GCF(7796,7804) = 4

GCF of 7796 and 7804

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

GCF of:
and

Greatest Common Factor of 7796 and 7804

GCF of 7796 and 7804 is 4

Prime Factorization of 7796


2 7796
2 3898
1949 1949
1

Prime factors of 7796 are 2,1949. Prime factorization of 7796 in exponential form is:

7796 = 22×19491

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 7796 and 7804 is 4

Greatest Common Factor of 7796 and 7804 by matching factors method

Factors of 7796

List of positive integer factors of 7796 that divides 7796 without a remainder.

1,2,4,1949,3898,7796

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 7796 and 7804. The biggest common factor number is the GCF number.
So the greatest common factor 7796 and 7804 is 4.

Also check out the Least Common Multiple of 7796 and 7804

Properties of GCF 7796 and 7804

(i) The GCF of 7796 and 7804 is associative

GCF of 7796 and 7804 = GCF of 7804 and 7796

Related Greatest Common Factor of 7796

Related Greatest Common Factor of 7804

Frequently Asked Questions on GCF of 7796 and 7804

1. What is the GCF of 7796 and 7804?

Answer: GCF of 7796 and 7804 is 4.

2. What are the Factors of 7796?

Answer: Factors of 7796 are 1, 2, 4, 1949, 3898, 7796. There are 6 integers that are factors of 7796. The greatest factor of 7796 is 7796.

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 7796 and 7804?

Answer:

Greatest Common Factor of 7796 and 7804 = 4

Step 1: Find the prime factorization of 7796

7796 = 2 x 2 x 1949

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 7796 and 7804 is 4