Greatest Common Factor of 5600 and 5607

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, 5607 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5600 and 5607 is 7.

GCF(5600,5607) = 7

GCF of 5600 and 5607

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

GCF of:
and

Greatest Common Factor of 5600 and 5607

GCF of 5600 and 5607 is 7

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 5607


3 5607
3 1869
7 623
89 89
1

Prime factors of 5607 are 3,7,89. Prime factorization of 5607 in exponential form is:

5607 = 32×71×891

∴ So by taking common prime factors GCF of 5600 and 5607 is 7

Greatest Common Factor of 5600 and 5607 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 5607

List of positive integer factors of 5607 that divides 5607 without a remainder.

1,3,7,9,21,63,89,267,623,801,1869,5607

Greatest Common Factor

We found the factors and prime factorization of 5600 and 5607. The biggest common factor number is the GCF number.
So the greatest common factor 5600 and 5607 is 7.

Also check out the Least Common Multiple of 5600 and 5607

Properties of GCF 5600 and 5607

(i) The GCF of 5600 and 5607 is associative

GCF of 5600 and 5607 = GCF of 5607 and 5600

Related Greatest Common Factor of 5600

Related Greatest Common Factor of 5607

Frequently Asked Questions on GCF of 5600 and 5607

1. What is the GCF of 5600 and 5607?

Answer: GCF of 5600 and 5607 is 7.

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 5607?

Answer: Factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607. There are 12 integers that are factors of 5607. The greatest factor of 5607 is 5607.

4. How to Find the GCF of 5600 and 5607?

Answer:

Greatest Common Factor of 5600 and 5607 = 7

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 5607

5607 = 3 x 3 x 7 x 89

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 5600 and 5607 is 7