Greatest Common Factor of 7816 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 7816, 7820 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7816 and 7820 is 4.

GCF(7816,7820) = 4

GCF of 7816 and 7820

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

GCF of:
and

Greatest Common Factor of 7816 and 7820

GCF of 7816 and 7820 is 4

Prime Factorization of 7816


2 7816
2 3908
2 1954
977 977
1

Prime factors of 7816 are 2,977. Prime factorization of 7816 in exponential form is:

7816 = 23×9771

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 7816 and 7820 is 4

Greatest Common Factor of 7816 and 7820 by matching factors method

Factors of 7816

List of positive integer factors of 7816 that divides 7816 without a remainder.

1,2,4,8,977,1954,3908,7816

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 7816 and 7820. The biggest common factor number is the GCF number.
So the greatest common factor 7816 and 7820 is 4.

Also check out the Least Common Multiple of 7816 and 7820

Properties of GCF 7816 and 7820

(i) The GCF of 7816 and 7820 is associative

GCF of 7816 and 7820 = GCF of 7820 and 7816

Related Greatest Common Factor of 7816

Related Greatest Common Factor of 7820

Frequently Asked Questions on GCF of 7816 and 7820

1. What is the GCF of 7816 and 7820?

Answer: GCF of 7816 and 7820 is 4.

2. What are the Factors of 7816?

Answer: Factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816. There are 8 integers that are factors of 7816. The greatest factor of 7816 is 7816.

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 7816 and 7820?

Answer:

Greatest Common Factor of 7816 and 7820 = 4

Step 1: Find the prime factorization of 7816

7816 = 2 x 2 x 2 x 977

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 7816 and 7820 is 4