Greatest Common Factor of 1834 and 1842

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 1834, 1842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1834 and 1842 is 2.

GCF(1834,1842) = 2

GCF of 1834 and 1842

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

GCF of:
and

Greatest Common Factor of 1834 and 1842

GCF of 1834 and 1842 is 2

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

Prime Factorization of 1842


2 1842
3 921
307 307
1

Prime factors of 1842 are 2,3,307. Prime factorization of 1842 in exponential form is:

1842 = 21×31×3071

∴ So by taking common prime factors GCF of 1834 and 1842 is 2

Greatest Common Factor of 1834 and 1842 by matching factors method

Factors of 1834

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

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

Factors of 1842

List of positive integer factors of 1842 that divides 1842 without a remainder.

1,2,3,6,307,614,921,1842

Greatest Common Factor

We found the factors and prime factorization of 1834 and 1842. The biggest common factor number is the GCF number.
So the greatest common factor 1834 and 1842 is 2.

Also check out the Least Common Multiple of 1834 and 1842

Properties of GCF 1834 and 1842

(i) The GCF of 1834 and 1842 is associative

GCF of 1834 and 1842 = GCF of 1842 and 1834

Related Greatest Common Factor of 1834

Related Greatest Common Factor of 1842

Frequently Asked Questions on GCF of 1834 and 1842

1. What is the GCF of 1834 and 1842?

Answer: GCF of 1834 and 1842 is 2.

2. 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.

3. What are the Factors of 1842?

Answer: Factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842. There are 8 integers that are factors of 1842. The greatest factor of 1842 is 1842.

4. How to Find the GCF of 1834 and 1842?

Answer:

Greatest Common Factor of 1834 and 1842 = 2

Step 1: Find the prime factorization of 1834

1834 = 2 x 7 x 131

Step 2: Find the prime factorization of 1842

1842 = 2 x 3 x 307

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 1834 and 1842 is 2