Greatest Common Factor of 7812 and 7820

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, 7820 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7812 and 7820 is 4.

GCF(7812,7820) = 4

GCF of 7812 and 7820

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

GCF of:
and

Greatest Common Factor of 7812 and 7820

GCF of 7812 and 7820 is 4

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 7820


2 7820
2 3910
5 1955
17 391
23 23
1

Prime factors of 7820 are 2,5,17,23. Prime factorization of 7820 in exponential form is:

7820 = 22×51×171×231

∴ So by taking common prime factors GCF of 7812 and 7820 is 4

Greatest Common Factor of 7812 and 7820 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 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820

Greatest Common Factor

We found the factors and prime factorization of 7812 and 7820. The biggest common factor number is the GCF number.
So the greatest common factor 7812 and 7820 is 4.

Also check out the Least Common Multiple of 7812 and 7820

Properties of GCF 7812 and 7820

(i) The GCF of 7812 and 7820 is associative

GCF of 7812 and 7820 = GCF of 7820 and 7812

Related Greatest Common Factor of 7812

Related Greatest Common Factor of 7820

Frequently Asked Questions on GCF of 7812 and 7820

1. What is the GCF of 7812 and 7820?

Answer: GCF of 7812 and 7820 is 4.

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 7820?

Answer: Factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820. There are 24 integers that are factors of 7820. The greatest factor of 7820 is 7820.

4. How to Find the GCF of 7812 and 7820?

Answer:

Greatest Common Factor of 7812 and 7820 = 4

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 7820

7820 = 2 x 2 x 5 x 17 x 23

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7812 and 7820 is 4