Greatest Common Factor of 7800 and 7805

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 7800, 7805 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7800 and 7805 is 5.

GCF(7800,7805) = 5

GCF of 7800 and 7805

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

GCF of:
and

Greatest Common Factor of 7800 and 7805

GCF of 7800 and 7805 is 5

Prime Factorization of 7800


2 7800
2 3900
2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 7800 are 2,3,5,13. Prime factorization of 7800 in exponential form is:

7800 = 23×31×52×131

Prime Factorization of 7805


5 7805
7 1561
223 223
1

Prime factors of 7805 are 5,7,223. Prime factorization of 7805 in exponential form is:

7805 = 51×71×2231

∴ So by taking common prime factors GCF of 7800 and 7805 is 5

Greatest Common Factor of 7800 and 7805 by matching factors method

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800

Factors of 7805

List of positive integer factors of 7805 that divides 7805 without a remainder.

1,5,7,35,223,1115,1561,7805

Greatest Common Factor

We found the factors and prime factorization of 7800 and 7805. The biggest common factor number is the GCF number.
So the greatest common factor 7800 and 7805 is 5.

Also check out the Least Common Multiple of 7800 and 7805

Properties of GCF 7800 and 7805

(i) The GCF of 7800 and 7805 is associative

GCF of 7800 and 7805 = GCF of 7805 and 7800

Related Greatest Common Factor of 7800

Related Greatest Common Factor of 7805

Frequently Asked Questions on GCF of 7800 and 7805

1. What is the GCF of 7800 and 7805?

Answer: GCF of 7800 and 7805 is 5.

2. What are the Factors of 7800?

Answer: Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. There are 48 integers that are factors of 7800. The greatest factor of 7800 is 7800.

3. What are the Factors of 7805?

Answer: Factors of 7805 are 1, 5, 7, 35, 223, 1115, 1561, 7805. There are 8 integers that are factors of 7805. The greatest factor of 7805 is 7805.

4. How to Find the GCF of 7800 and 7805?

Answer:

Greatest Common Factor of 7800 and 7805 = 5

Step 1: Find the prime factorization of 7800

7800 = 2 x 2 x 2 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 7805

7805 = 5 x 7 x 223

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7800 and 7805 is 5