Greatest Common Factor of 5600 and 5605

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 5600, 5605 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5600 and 5605 is 5.

GCF(5600,5605) = 5

GCF of 5600 and 5605

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

GCF of:
and

Greatest Common Factor of 5600 and 5605

GCF of 5600 and 5605 is 5

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

Prime Factorization of 5605


5 5605
19 1121
59 59
1

Prime factors of 5605 are 5,19,59. Prime factorization of 5605 in exponential form is:

5605 = 51×191×591

∴ So by taking common prime factors GCF of 5600 and 5605 is 5

Greatest Common Factor of 5600 and 5605 by matching factors method

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

Factors of 5605

List of positive integer factors of 5605 that divides 5605 without a remainder.

1,5,19,59,95,295,1121,5605

Greatest Common Factor

We found the factors and prime factorization of 5600 and 5605. The biggest common factor number is the GCF number.
So the greatest common factor 5600 and 5605 is 5.

Also check out the Least Common Multiple of 5600 and 5605

Properties of GCF 5600 and 5605

(i) The GCF of 5600 and 5605 is associative

GCF of 5600 and 5605 = GCF of 5605 and 5600

Related Greatest Common Factor of 5600

Related Greatest Common Factor of 5605

Frequently Asked Questions on GCF of 5600 and 5605

1. What is the GCF of 5600 and 5605?

Answer: GCF of 5600 and 5605 is 5.

2. 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.

3. What are the Factors of 5605?

Answer: Factors of 5605 are 1, 5, 19, 59, 95, 295, 1121, 5605. There are 8 integers that are factors of 5605. The greatest factor of 5605 is 5605.

4. How to Find the GCF of 5600 and 5605?

Answer:

Greatest Common Factor of 5600 and 5605 = 5

Step 1: Find the prime factorization of 5600

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

Step 2: Find the prime factorization of 5605

5605 = 5 x 19 x 59

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5600 and 5605 is 5