Greatest Common Factor of 8792 and 8800

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 8792, 8800 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8792 and 8800 is 8.

GCF(8792,8800) = 8

GCF of 8792 and 8800

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

GCF of:
and

Greatest Common Factor of 8792 and 8800

GCF of 8792 and 8800 is 8

Prime Factorization of 8792


2 8792
2 4396
2 2198
7 1099
157 157
1

Prime factors of 8792 are 2,7,157. Prime factorization of 8792 in exponential form is:

8792 = 23×71×1571

Prime Factorization of 8800


2 8800
2 4400
2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 8800 are 2,5,11. Prime factorization of 8800 in exponential form is:

8800 = 25×52×111

∴ So by taking common prime factors GCF of 8792 and 8800 is 8

Greatest Common Factor of 8792 and 8800 by matching factors method

Factors of 8792

List of positive integer factors of 8792 that divides 8792 without a remainder.

1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792

Factors of 8800

List of positive integer factors of 8800 that divides 8800 without a remainder.

1,2,4,5,8,10,11,16,20,22,25,32,40,44,50,55,80,88,100,110,160,176,200,220,275,352,400,440,550,800,880,1100,1760,2200,4400,8800

Greatest Common Factor

We found the factors and prime factorization of 8792 and 8800. The biggest common factor number is the GCF number.
So the greatest common factor 8792 and 8800 is 8.

Also check out the Least Common Multiple of 8792 and 8800

Properties of GCF 8792 and 8800

(i) The GCF of 8792 and 8800 is associative

GCF of 8792 and 8800 = GCF of 8800 and 8792

Related Greatest Common Factor of 8792

Related Greatest Common Factor of 8800

Frequently Asked Questions on GCF of 8792 and 8800

1. What is the GCF of 8792 and 8800?

Answer: GCF of 8792 and 8800 is 8.

2. What are the Factors of 8792?

Answer: Factors of 8792 are 1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396, 8792. There are 16 integers that are factors of 8792. The greatest factor of 8792 is 8792.

3. What are the Factors of 8800?

Answer: Factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800. There are 36 integers that are factors of 8800. The greatest factor of 8800 is 8800.

4. How to Find the GCF of 8792 and 8800?

Answer:

Greatest Common Factor of 8792 and 8800 = 8

Step 1: Find the prime factorization of 8792

8792 = 2 x 2 x 2 x 7 x 157

Step 2: Find the prime factorization of 8800

8800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11

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 8792 and 8800 is 8