Greatest Common Factor of 7893 and 7899

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 7893, 7899 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7893 and 7899 is 3.

GCF(7893,7899) = 3

GCF of 7893 and 7899

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

GCF of:
and

Greatest Common Factor of 7893 and 7899

GCF of 7893 and 7899 is 3

Prime Factorization of 7893


3 7893
3 2631
877 877
1

Prime factors of 7893 are 3,877. Prime factorization of 7893 in exponential form is:

7893 = 32×8771

Prime Factorization of 7899


3 7899
2633 2633
1

Prime factors of 7899 are 3,2633. Prime factorization of 7899 in exponential form is:

7899 = 31×26331

∴ So by taking common prime factors GCF of 7893 and 7899 is 3

Greatest Common Factor of 7893 and 7899 by matching factors method

Factors of 7893

List of positive integer factors of 7893 that divides 7893 without a remainder.

1,3,9,877,2631,7893

Factors of 7899

List of positive integer factors of 7899 that divides 7899 without a remainder.

1,3,2633,7899

Greatest Common Factor

We found the factors and prime factorization of 7893 and 7899. The biggest common factor number is the GCF number.
So the greatest common factor 7893 and 7899 is 3.

Also check out the Least Common Multiple of 7893 and 7899

Properties of GCF 7893 and 7899

(i) The GCF of 7893 and 7899 is associative

GCF of 7893 and 7899 = GCF of 7899 and 7893

Related Greatest Common Factor of 7893

Related Greatest Common Factor of 7899

Frequently Asked Questions on GCF of 7893 and 7899

1. What is the GCF of 7893 and 7899?

Answer: GCF of 7893 and 7899 is 3.

2. What are the Factors of 7893?

Answer: Factors of 7893 are 1, 3, 9, 877, 2631, 7893. There are 6 integers that are factors of 7893. The greatest factor of 7893 is 7893.

3. What are the Factors of 7899?

Answer: Factors of 7899 are 1, 3, 2633, 7899. There are 4 integers that are factors of 7899. The greatest factor of 7899 is 7899.

4. How to Find the GCF of 7893 and 7899?

Answer:

Greatest Common Factor of 7893 and 7899 = 3

Step 1: Find the prime factorization of 7893

7893 = 3 x 3 x 877

Step 2: Find the prime factorization of 7899

7899 = 3 x 2633

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 7893 and 7899 is 3