Greatest Common Factor of 1592 and 1600

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 1592, 1600 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1592 and 1600 is 8.

GCF(1592,1600) = 8

GCF of 1592 and 1600

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

GCF of:
and

Greatest Common Factor of 1592 and 1600

GCF of 1592 and 1600 is 8

Prime Factorization of 1592


2 1592
2 796
2 398
199 199
1

Prime factors of 1592 are 2,199. Prime factorization of 1592 in exponential form is:

1592 = 23×1991

Prime Factorization of 1600


2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 1600 are 2,5. Prime factorization of 1600 in exponential form is:

1600 = 26×52

∴ So by taking common prime factors GCF of 1592 and 1600 is 8

Greatest Common Factor of 1592 and 1600 by matching factors method

Factors of 1592

List of positive integer factors of 1592 that divides 1592 without a remainder.

1,2,4,8,199,398,796,1592

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600

Greatest Common Factor

We found the factors and prime factorization of 1592 and 1600. The biggest common factor number is the GCF number.
So the greatest common factor 1592 and 1600 is 8.

Also check out the Least Common Multiple of 1592 and 1600

Properties of GCF 1592 and 1600

(i) The GCF of 1592 and 1600 is associative

GCF of 1592 and 1600 = GCF of 1600 and 1592

Related Greatest Common Factor of 1592

Related Greatest Common Factor of 1600

Frequently Asked Questions on GCF of 1592 and 1600

1. What is the GCF of 1592 and 1600?

Answer: GCF of 1592 and 1600 is 8.

2. What are the Factors of 1592?

Answer: Factors of 1592 are 1, 2, 4, 8, 199, 398, 796, 1592. There are 8 integers that are factors of 1592. The greatest factor of 1592 is 1592.

3. What are the Factors of 1600?

Answer: Factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600. There are 21 integers that are factors of 1600. The greatest factor of 1600 is 1600.

4. How to Find the GCF of 1592 and 1600?

Answer:

Greatest Common Factor of 1592 and 1600 = 8

Step 1: Find the prime factorization of 1592

1592 = 2 x 2 x 2 x 199

Step 2: Find the prime factorization of 1600

1600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

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 1592 and 1600 is 8