Greatest Common Factor of 1796 and 1800

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 1796, 1800 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1796 and 1800 is 4.

GCF(1796,1800) = 4

GCF of 1796 and 1800

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

GCF of:
and

Greatest Common Factor of 1796 and 1800

GCF of 1796 and 1800 is 4

Prime Factorization of 1796


2 1796
2 898
449 449
1

Prime factors of 1796 are 2,449. Prime factorization of 1796 in exponential form is:

1796 = 22×4491

Prime Factorization of 1800


2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 1800 are 2,3,5. Prime factorization of 1800 in exponential form is:

1800 = 23×32×52

∴ So by taking common prime factors GCF of 1796 and 1800 is 4

Greatest Common Factor of 1796 and 1800 by matching factors method

Factors of 1796

List of positive integer factors of 1796 that divides 1796 without a remainder.

1,2,4,449,898,1796

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Greatest Common Factor

We found the factors and prime factorization of 1796 and 1800. The biggest common factor number is the GCF number.
So the greatest common factor 1796 and 1800 is 4.

Also check out the Least Common Multiple of 1796 and 1800

Properties of GCF 1796 and 1800

(i) The GCF of 1796 and 1800 is associative

GCF of 1796 and 1800 = GCF of 1800 and 1796

Related Greatest Common Factor of 1796

Related Greatest Common Factor of 1800

Frequently Asked Questions on GCF of 1796 and 1800

1. What is the GCF of 1796 and 1800?

Answer: GCF of 1796 and 1800 is 4.

2. What are the Factors of 1796?

Answer: Factors of 1796 are 1, 2, 4, 449, 898, 1796. There are 6 integers that are factors of 1796. The greatest factor of 1796 is 1796.

3. What are the Factors of 1800?

Answer: Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. There are 36 integers that are factors of 1800. The greatest factor of 1800 is 1800.

4. How to Find the GCF of 1796 and 1800?

Answer:

Greatest Common Factor of 1796 and 1800 = 4

Step 1: Find the prime factorization of 1796

1796 = 2 x 2 x 449

Step 2: Find the prime factorization of 1800

1800 = 2 x 2 x 2 x 3 x 3 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 = 4

Step 4: Therefore, the greatest common factor of 1796 and 1800 is 4