Greatest Common Factor of 7797 and 7803

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 7797, 7803 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7797 and 7803 is 3.

GCF(7797,7803) = 3

GCF of 7797 and 7803

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

GCF of:
and

Greatest Common Factor of 7797 and 7803

GCF of 7797 and 7803 is 3

Prime Factorization of 7797


3 7797
23 2599
113 113
1

Prime factors of 7797 are 3,23,113. Prime factorization of 7797 in exponential form is:

7797 = 31×231×1131

Prime Factorization of 7803


3 7803
3 2601
3 867
17 289
17 17
1

Prime factors of 7803 are 3,17. Prime factorization of 7803 in exponential form is:

7803 = 33×172

∴ So by taking common prime factors GCF of 7797 and 7803 is 3

Greatest Common Factor of 7797 and 7803 by matching factors method

Factors of 7797

List of positive integer factors of 7797 that divides 7797 without a remainder.

1,3,23,69,113,339,2599,7797

Factors of 7803

List of positive integer factors of 7803 that divides 7803 without a remainder.

1,3,9,17,27,51,153,289,459,867,2601,7803

Greatest Common Factor

We found the factors and prime factorization of 7797 and 7803. The biggest common factor number is the GCF number.
So the greatest common factor 7797 and 7803 is 3.

Also check out the Least Common Multiple of 7797 and 7803

Properties of GCF 7797 and 7803

(i) The GCF of 7797 and 7803 is associative

GCF of 7797 and 7803 = GCF of 7803 and 7797

Related Greatest Common Factor of 7797

Related Greatest Common Factor of 7803

Frequently Asked Questions on GCF of 7797 and 7803

1. What is the GCF of 7797 and 7803?

Answer: GCF of 7797 and 7803 is 3.

2. What are the Factors of 7797?

Answer: Factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797. There are 8 integers that are factors of 7797. The greatest factor of 7797 is 7797.

3. What are the Factors of 7803?

Answer: Factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803. There are 12 integers that are factors of 7803. The greatest factor of 7803 is 7803.

4. How to Find the GCF of 7797 and 7803?

Answer:

Greatest Common Factor of 7797 and 7803 = 3

Step 1: Find the prime factorization of 7797

7797 = 3 x 23 x 113

Step 2: Find the prime factorization of 7803

7803 = 3 x 3 x 3 x 17 x 17

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7797 and 7803 is 3