Greatest Common Factor of 7815 and 7821

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 7815, 7821 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7815 and 7821 is 3.

GCF(7815,7821) = 3

GCF of 7815 and 7821

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

GCF of:
and

Greatest Common Factor of 7815 and 7821

GCF of 7815 and 7821 is 3

Prime Factorization of 7815


3 7815
5 2605
521 521
1

Prime factors of 7815 are 3,5,521. Prime factorization of 7815 in exponential form is:

7815 = 31×51×5211

Prime Factorization of 7821


3 7821
3 2607
11 869
79 79
1

Prime factors of 7821 are 3,11,79. Prime factorization of 7821 in exponential form is:

7821 = 32×111×791

∴ So by taking common prime factors GCF of 7815 and 7821 is 3

Greatest Common Factor of 7815 and 7821 by matching factors method

Factors of 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1,3,5,15,521,1563,2605,7815

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors and prime factorization of 7815 and 7821. The biggest common factor number is the GCF number.
So the greatest common factor 7815 and 7821 is 3.

Also check out the Least Common Multiple of 7815 and 7821

Properties of GCF 7815 and 7821

(i) The GCF of 7815 and 7821 is associative

GCF of 7815 and 7821 = GCF of 7821 and 7815

Related Greatest Common Factor of 7815

Related Greatest Common Factor of 7821

Frequently Asked Questions on GCF of 7815 and 7821

1. What is the GCF of 7815 and 7821?

Answer: GCF of 7815 and 7821 is 3.

2. What are the Factors of 7815?

Answer: Factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815. There are 8 integers that are factors of 7815. The greatest factor of 7815 is 7815.

3. What are the Factors of 7821?

Answer: Factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821. There are 12 integers that are factors of 7821. The greatest factor of 7821 is 7821.

4. How to Find the GCF of 7815 and 7821?

Answer:

Greatest Common Factor of 7815 and 7821 = 3

Step 1: Find the prime factorization of 7815

7815 = 3 x 5 x 521

Step 2: Find the prime factorization of 7821

7821 = 3 x 3 x 11 x 79

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 7815 and 7821 is 3