Greatest Common Factor of 7812 and 7815

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 7812, 7815 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7812 and 7815 is 3.

GCF(7812,7815) = 3

GCF of 7812 and 7815

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

GCF of:
and

Greatest Common Factor of 7812 and 7815

GCF of 7812 and 7815 is 3

Prime Factorization of 7812


2 7812
2 3906
3 1953
3 651
7 217
31 31
1

Prime factors of 7812 are 2,3,7,31. Prime factorization of 7812 in exponential form is:

7812 = 22×32×71×311

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

∴ So by taking common prime factors GCF of 7812 and 7815 is 3

Greatest Common Factor of 7812 and 7815 by matching factors method

Factors of 7812

List of positive integer factors of 7812 that divides 7812 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812

Factors of 7815

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

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

Greatest Common Factor

We found the factors and prime factorization of 7812 and 7815. The biggest common factor number is the GCF number.
So the greatest common factor 7812 and 7815 is 3.

Also check out the Least Common Multiple of 7812 and 7815

Properties of GCF 7812 and 7815

(i) The GCF of 7812 and 7815 is associative

GCF of 7812 and 7815 = GCF of 7815 and 7812

Related Greatest Common Factor of 7812

Related Greatest Common Factor of 7815

Frequently Asked Questions on GCF of 7812 and 7815

1. What is the GCF of 7812 and 7815?

Answer: GCF of 7812 and 7815 is 3.

2. What are the Factors of 7812?

Answer: Factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812. There are 36 integers that are factors of 7812. The greatest factor of 7812 is 7812.

3. 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.

4. How to Find the GCF of 7812 and 7815?

Answer:

Greatest Common Factor of 7812 and 7815 = 3

Step 1: Find the prime factorization of 7812

7812 = 2 x 2 x 3 x 3 x 7 x 31

Step 2: Find the prime factorization of 7815

7815 = 3 x 5 x 521

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 7812 and 7815 is 3