Greatest Common Factor of 1830 and 1834

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 1830, 1834 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1830 and 1834 is 2.

GCF(1830,1834) = 2

GCF of 1830 and 1834

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

GCF of:
and

Greatest Common Factor of 1830 and 1834

GCF of 1830 and 1834 is 2

Prime Factorization of 1830


2 1830
3 915
5 305
61 61
1

Prime factors of 1830 are 2,3,5,61. Prime factorization of 1830 in exponential form is:

1830 = 21×31×51×611

Prime Factorization of 1834


2 1834
7 917
131 131
1

Prime factors of 1834 are 2,7,131. Prime factorization of 1834 in exponential form is:

1834 = 21×71×1311

∴ So by taking common prime factors GCF of 1830 and 1834 is 2

Greatest Common Factor of 1830 and 1834 by matching factors method

Factors of 1830

List of positive integer factors of 1830 that divides 1830 without a remainder.

1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830

Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1,2,7,14,131,262,917,1834

Greatest Common Factor

We found the factors and prime factorization of 1830 and 1834. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1834 is 2.

Also check out the Least Common Multiple of 1830 and 1834

Properties of GCF 1830 and 1834

(i) The GCF of 1830 and 1834 is associative

GCF of 1830 and 1834 = GCF of 1834 and 1830

Related Greatest Common Factor of 1830

Related Greatest Common Factor of 1834

Frequently Asked Questions on GCF of 1830 and 1834

1. What is the GCF of 1830 and 1834?

Answer: GCF of 1830 and 1834 is 2.

2. What are the Factors of 1830?

Answer: Factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830. There are 16 integers that are factors of 1830. The greatest factor of 1830 is 1830.

3. What are the Factors of 1834?

Answer: Factors of 1834 are 1, 2, 7, 14, 131, 262, 917, 1834. There are 8 integers that are factors of 1834. The greatest factor of 1834 is 1834.

4. How to Find the GCF of 1830 and 1834?

Answer:

Greatest Common Factor of 1830 and 1834 = 2

Step 1: Find the prime factorization of 1830

1830 = 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 1834

1834 = 2 x 7 x 131

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 1830 and 1834 is 2