Greatest Common Factor of 7794 and 7796

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 7794, 7796 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7794 and 7796 is 2.

GCF(7794,7796) = 2

GCF of 7794 and 7796

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

GCF of:
and

Greatest Common Factor of 7794 and 7796

GCF of 7794 and 7796 is 2

Prime Factorization of 7794


2 7794
3 3897
3 1299
433 433
1

Prime factors of 7794 are 2,3,433. Prime factorization of 7794 in exponential form is:

7794 = 21×32×4331

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

∴ So by taking common prime factors GCF of 7794 and 7796 is 2

Greatest Common Factor of 7794 and 7796 by matching factors method

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1,2,3,6,9,18,433,866,1299,2598,3897,7794

Factors of 7796

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

1,2,4,1949,3898,7796

Greatest Common Factor

We found the factors and prime factorization of 7794 and 7796. The biggest common factor number is the GCF number.
So the greatest common factor 7794 and 7796 is 2.

Also check out the Least Common Multiple of 7794 and 7796

Properties of GCF 7794 and 7796

(i) The GCF of 7794 and 7796 is associative

GCF of 7794 and 7796 = GCF of 7796 and 7794

Related Greatest Common Factor of 7794

Related Greatest Common Factor of 7796

Frequently Asked Questions on GCF of 7794 and 7796

1. What is the GCF of 7794 and 7796?

Answer: GCF of 7794 and 7796 is 2.

2. What are the Factors of 7794?

Answer: Factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794. There are 12 integers that are factors of 7794. The greatest factor of 7794 is 7794.

3. 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.

4. How to Find the GCF of 7794 and 7796?

Answer:

Greatest Common Factor of 7794 and 7796 = 2

Step 1: Find the prime factorization of 7794

7794 = 2 x 3 x 3 x 433

Step 2: Find the prime factorization of 7796

7796 = 2 x 2 x 1949

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 7794 and 7796 is 2