Greatest Common Factor of 1795 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 1795, 1800 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1795 and 1800 is 5.

GCF(1795,1800) = 5

GCF of 1795 and 1800

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

GCF of:
and

Greatest Common Factor of 1795 and 1800

GCF of 1795 and 1800 is 5

Prime Factorization of 1795


5 1795
359 359
1

Prime factors of 1795 are 5,359. Prime factorization of 1795 in exponential form is:

1795 = 51×3591

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 1795 and 1800 is 5

Greatest Common Factor of 1795 and 1800 by matching factors method

Factors of 1795

List of positive integer factors of 1795 that divides 1795 without a remainder.

1,5,359,1795

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 1795 and 1800. The biggest common factor number is the GCF number.
So the greatest common factor 1795 and 1800 is 5.

Also check out the Least Common Multiple of 1795 and 1800

Properties of GCF 1795 and 1800

(i) The GCF of 1795 and 1800 is associative

GCF of 1795 and 1800 = GCF of 1800 and 1795

Related Greatest Common Factor of 1795

Related Greatest Common Factor of 1800

Frequently Asked Questions on GCF of 1795 and 1800

1. What is the GCF of 1795 and 1800?

Answer: GCF of 1795 and 1800 is 5.

2. What are the Factors of 1795?

Answer: Factors of 1795 are 1, 5, 359, 1795. There are 4 integers that are factors of 1795. The greatest factor of 1795 is 1795.

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 1795 and 1800?

Answer:

Greatest Common Factor of 1795 and 1800 = 5

Step 1: Find the prime factorization of 1795

1795 = 5 x 359

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 = 5

Step 4: Therefore, the greatest common factor of 1795 and 1800 is 5