Greatest Common Factor of 7794 and 7800

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 7794, 7800 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7794 and 7800 is 6.

GCF(7794,7800) = 6

GCF of 7794 and 7800

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

GCF of:
and

Greatest Common Factor of 7794 and 7800

GCF of 7794 and 7800 is 6

Prime Factorization of 7794


2 7794
3 3897
3 1299
433 433
1

Prime factors of 7794 are 2,3,433. Prime factorization of 7794 in exponential form is:

7794 = 21×32×4331

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

∴ So by taking common prime factors GCF of 7794 and 7800 is 6

Greatest Common Factor of 7794 and 7800 by matching factors method

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1,2,3,6,9,18,433,866,1299,2598,3897,7794

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

Greatest Common Factor

We found the factors and prime factorization of 7794 and 7800. The biggest common factor number is the GCF number.
So the greatest common factor 7794 and 7800 is 6.

Also check out the Least Common Multiple of 7794 and 7800

Properties of GCF 7794 and 7800

(i) The GCF of 7794 and 7800 is associative

GCF of 7794 and 7800 = GCF of 7800 and 7794

Related Greatest Common Factor of 7794

Related Greatest Common Factor of 7800

Frequently Asked Questions on GCF of 7794 and 7800

1. What is the GCF of 7794 and 7800?

Answer: GCF of 7794 and 7800 is 6.

2. What are the Factors of 7794?

Answer: Factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794. There are 12 integers that are factors of 7794. The greatest factor of 7794 is 7794.

3. 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.

4. How to Find the GCF of 7794 and 7800?

Answer:

Greatest Common Factor of 7794 and 7800 = 6

Step 1: Find the prime factorization of 7794

7794 = 2 x 3 x 3 x 433

Step 2: Find the prime factorization of 7800

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7794 and 7800 is 6