Greatest Common Factor of 5592 and 5600

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 5592, 5600 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5592 and 5600 is 8.

GCF(5592,5600) = 8

GCF of 5592 and 5600

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

GCF of:
and

Greatest Common Factor of 5592 and 5600

GCF of 5592 and 5600 is 8

Prime Factorization of 5592


2 5592
2 2796
2 1398
3 699
233 233
1

Prime factors of 5592 are 2,3,233. Prime factorization of 5592 in exponential form is:

5592 = 23×31×2331

Prime Factorization of 5600


2 5600
2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 5600 are 2,5,7. Prime factorization of 5600 in exponential form is:

5600 = 25×52×71

∴ So by taking common prime factors GCF of 5592 and 5600 is 8

Greatest Common Factor of 5592 and 5600 by matching factors method

Factors of 5592

List of positive integer factors of 5592 that divides 5592 without a remainder.

1,2,3,4,6,8,12,24,233,466,699,932,1398,1864,2796,5592

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600

Greatest Common Factor

We found the factors and prime factorization of 5592 and 5600. The biggest common factor number is the GCF number.
So the greatest common factor 5592 and 5600 is 8.

Also check out the Least Common Multiple of 5592 and 5600

Properties of GCF 5592 and 5600

(i) The GCF of 5592 and 5600 is associative

GCF of 5592 and 5600 = GCF of 5600 and 5592

Related Greatest Common Factor of 5592

Related Greatest Common Factor of 5600

Frequently Asked Questions on GCF of 5592 and 5600

1. What is the GCF of 5592 and 5600?

Answer: GCF of 5592 and 5600 is 8.

2. What are the Factors of 5592?

Answer: Factors of 5592 are 1, 2, 3, 4, 6, 8, 12, 24, 233, 466, 699, 932, 1398, 1864, 2796, 5592. There are 16 integers that are factors of 5592. The greatest factor of 5592 is 5592.

3. What are the Factors of 5600?

Answer: Factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600. There are 36 integers that are factors of 5600. The greatest factor of 5600 is 5600.

4. How to Find the GCF of 5592 and 5600?

Answer:

Greatest Common Factor of 5592 and 5600 = 8

Step 1: Find the prime factorization of 5592

5592 = 2 x 2 x 2 x 3 x 233

Step 2: Find the prime factorization of 5600

5600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7

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 5592 and 5600 is 8