Greatest Common Factor of 5600 and 5608

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, 5608 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5600 and 5608 is 8.

GCF(5600,5608) = 8

GCF of 5600 and 5608

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

GCF of:
and

Greatest Common Factor of 5600 and 5608

GCF of 5600 and 5608 is 8

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 5608


2 5608
2 2804
2 1402
701 701
1

Prime factors of 5608 are 2,701. Prime factorization of 5608 in exponential form is:

5608 = 23×7011

∴ So by taking common prime factors GCF of 5600 and 5608 is 8

Greatest Common Factor of 5600 and 5608 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 5608

List of positive integer factors of 5608 that divides 5608 without a remainder.

1,2,4,8,701,1402,2804,5608

Greatest Common Factor

We found the factors and prime factorization of 5600 and 5608. The biggest common factor number is the GCF number.
So the greatest common factor 5600 and 5608 is 8.

Also check out the Least Common Multiple of 5600 and 5608

Properties of GCF 5600 and 5608

(i) The GCF of 5600 and 5608 is associative

GCF of 5600 and 5608 = GCF of 5608 and 5600

Related Greatest Common Factor of 5600

Related Greatest Common Factor of 5608

Frequently Asked Questions on GCF of 5600 and 5608

1. What is the GCF of 5600 and 5608?

Answer: GCF of 5600 and 5608 is 8.

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 5608?

Answer: Factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608. There are 8 integers that are factors of 5608. The greatest factor of 5608 is 5608.

4. How to Find the GCF of 5600 and 5608?

Answer:

Greatest Common Factor of 5600 and 5608 = 8

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 5608

5608 = 2 x 2 x 2 x 701

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 5600 and 5608 is 8