Greatest Common Factor of 7800 and 7808

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, 7808 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7800 and 7808 is 8.

GCF(7800,7808) = 8

GCF of 7800 and 7808

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

GCF of:
and

Greatest Common Factor of 7800 and 7808

GCF of 7800 and 7808 is 8

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 7808


2 7808
2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 7808 are 2,61. Prime factorization of 7808 in exponential form is:

7808 = 27×611

∴ So by taking common prime factors GCF of 7800 and 7808 is 8

Greatest Common Factor of 7800 and 7808 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 7808

List of positive integer factors of 7808 that divides 7808 without a remainder.

1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808

Greatest Common Factor

We found the factors and prime factorization of 7800 and 7808. The biggest common factor number is the GCF number.
So the greatest common factor 7800 and 7808 is 8.

Also check out the Least Common Multiple of 7800 and 7808

Properties of GCF 7800 and 7808

(i) The GCF of 7800 and 7808 is associative

GCF of 7800 and 7808 = GCF of 7808 and 7800

Related Greatest Common Factor of 7800

Related Greatest Common Factor of 7808

Frequently Asked Questions on GCF of 7800 and 7808

1. What is the GCF of 7800 and 7808?

Answer: GCF of 7800 and 7808 is 8.

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 7808?

Answer: Factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808. There are 16 integers that are factors of 7808. The greatest factor of 7808 is 7808.

4. How to Find the GCF of 7800 and 7808?

Answer:

Greatest Common Factor of 7800 and 7808 = 8

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 7808

7808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7800 and 7808 is 8