Greatest Common Factor of 7792 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 7792, 7800 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7792 and 7800 is 8.

GCF(7792,7800) = 8

GCF of 7792 and 7800

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

GCF of:
and

Greatest Common Factor of 7792 and 7800

GCF of 7792 and 7800 is 8

Prime Factorization of 7792


2 7792
2 3896
2 1948
2 974
487 487
1

Prime factors of 7792 are 2,487. Prime factorization of 7792 in exponential form is:

7792 = 24×4871

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 7792 and 7800 is 8

Greatest Common Factor of 7792 and 7800 by matching factors method

Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1,2,4,8,16,487,974,1948,3896,7792

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 7792 and 7800. The biggest common factor number is the GCF number.
So the greatest common factor 7792 and 7800 is 8.

Also check out the Least Common Multiple of 7792 and 7800

Properties of GCF 7792 and 7800

(i) The GCF of 7792 and 7800 is associative

GCF of 7792 and 7800 = GCF of 7800 and 7792

Related Greatest Common Factor of 7792

Related Greatest Common Factor of 7800

Frequently Asked Questions on GCF of 7792 and 7800

1. What is the GCF of 7792 and 7800?

Answer: GCF of 7792 and 7800 is 8.

2. What are the Factors of 7792?

Answer: Factors of 7792 are 1, 2, 4, 8, 16, 487, 974, 1948, 3896, 7792. There are 10 integers that are factors of 7792. The greatest factor of 7792 is 7792.

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 7792 and 7800?

Answer:

Greatest Common Factor of 7792 and 7800 = 8

Step 1: Find the prime factorization of 7792

7792 = 2 x 2 x 2 x 2 x 487

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7792 and 7800 is 8