Greatest Common Factor of 1802 and 1810

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, 1810 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1802 and 1810 is 2.

GCF(1802,1810) = 2

GCF of 1802 and 1810

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

GCF of:
and

Greatest Common Factor of 1802 and 1810

GCF of 1802 and 1810 is 2

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 1810


2 1810
5 905
181 181
1

Prime factors of 1810 are 2,5,181. Prime factorization of 1810 in exponential form is:

1810 = 21×51×1811

∴ So by taking common prime factors GCF of 1802 and 1810 is 2

Greatest Common Factor of 1802 and 1810 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 1810

List of positive integer factors of 1810 that divides 1810 without a remainder.

1,2,5,10,181,362,905,1810

Greatest Common Factor

We found the factors and prime factorization of 1802 and 1810. The biggest common factor number is the GCF number.
So the greatest common factor 1802 and 1810 is 2.

Also check out the Least Common Multiple of 1802 and 1810

Properties of GCF 1802 and 1810

(i) The GCF of 1802 and 1810 is associative

GCF of 1802 and 1810 = GCF of 1810 and 1802

Related Greatest Common Factor of 1802

Related Greatest Common Factor of 1810

Frequently Asked Questions on GCF of 1802 and 1810

1. What is the GCF of 1802 and 1810?

Answer: GCF of 1802 and 1810 is 2.

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 1810?

Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.

4. How to Find the GCF of 1802 and 1810?

Answer:

Greatest Common Factor of 1802 and 1810 = 2

Step 1: Find the prime factorization of 1802

1802 = 2 x 17 x 53

Step 2: Find the prime factorization of 1810

1810 = 2 x 5 x 181

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1802 and 1810 is 2