Greatest Common Factor of 1802 and 1805

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 1802, 1805 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1802 and 1805 is 1.

GCF(1802,1805) = 1

GCF of 1802 and 1805

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

GCF of:
and

Greatest Common Factor of 1802 and 1805

GCF of 1802 and 1805 is 1

Prime Factorization of 1802


2 1802
17 901
53 53
1

Prime factors of 1802 are 2,17,53. Prime factorization of 1802 in exponential form is:

1802 = 21×171×531

Prime Factorization of 1805


5 1805
19 361
19 19
1

Prime factors of 1805 are 5,19. Prime factorization of 1805 in exponential form is:

1805 = 51×192

∴ So by taking common prime factors GCF of 1802 and 1805 is 1

Greatest Common Factor of 1802 and 1805 by matching factors method

Factors of 1802

List of positive integer factors of 1802 that divides 1802 without a remainder.

1,2,17,34,53,106,901,1802

Factors of 1805

List of positive integer factors of 1805 that divides 1805 without a remainder.

1,5,19,95,361,1805

Greatest Common Factor

We found the factors and prime factorization of 1802 and 1805. The biggest common factor number is the GCF number.
So the greatest common factor 1802 and 1805 is 1.

Also check out the Least Common Multiple of 1802 and 1805

Properties of GCF 1802 and 1805

(i) The GCF of 1802 and 1805 is associative

GCF of 1802 and 1805 = GCF of 1805 and 1802

Related Greatest Common Factor of 1802

Related Greatest Common Factor of 1805

Frequently Asked Questions on GCF of 1802 and 1805

1. What is the GCF of 1802 and 1805?

Answer: GCF of 1802 and 1805 is 1.

2. What are the Factors of 1802?

Answer: Factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802. There are 8 integers that are factors of 1802. The greatest factor of 1802 is 1802.

3. What are the Factors of 1805?

Answer: Factors of 1805 are 1, 5, 19, 95, 361, 1805. There are 6 integers that are factors of 1805. The greatest factor of 1805 is 1805.

4. How to Find the GCF of 1802 and 1805?

Answer:

Greatest Common Factor of 1802 and 1805 = 1

Step 1: Find the prime factorization of 1802

1802 = 2 x 17 x 53

Step 2: Find the prime factorization of 1805

1805 = 5 x 19 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1802 and 1805 is 1