Greatest Common Factor of 5593 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 5593, 5600 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5593 and 5600 is 7.

GCF(5593,5600) = 7

GCF of 5593 and 5600

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

GCF of:
and

Greatest Common Factor of 5593 and 5600

GCF of 5593 and 5600 is 7

Prime Factorization of 5593


7 5593
17 799
47 47
1

Prime factors of 5593 are 7,17,47. Prime factorization of 5593 in exponential form is:

5593 = 71×171×471

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 5593 and 5600 is 7

Greatest Common Factor of 5593 and 5600 by matching factors method

Factors of 5593

List of positive integer factors of 5593 that divides 5593 without a remainder.

1,7,17,47,119,329,799,5593

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 5593 and 5600. The biggest common factor number is the GCF number.
So the greatest common factor 5593 and 5600 is 7.

Also check out the Least Common Multiple of 5593 and 5600

Properties of GCF 5593 and 5600

(i) The GCF of 5593 and 5600 is associative

GCF of 5593 and 5600 = GCF of 5600 and 5593

Related Greatest Common Factor of 5593

Related Greatest Common Factor of 5600

Frequently Asked Questions on GCF of 5593 and 5600

1. What is the GCF of 5593 and 5600?

Answer: GCF of 5593 and 5600 is 7.

2. What are the Factors of 5593?

Answer: Factors of 5593 are 1, 7, 17, 47, 119, 329, 799, 5593. There are 8 integers that are factors of 5593. The greatest factor of 5593 is 5593.

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 5593 and 5600?

Answer:

Greatest Common Factor of 5593 and 5600 = 7

Step 1: Find the prime factorization of 5593

5593 = 7 x 17 x 47

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 = 7

Step 4: Therefore, the greatest common factor of 5593 and 5600 is 7