Greatest Common Factor of 1834 and 1838

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, 1838 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1834 and 1838 is 2.

GCF(1834,1838) = 2

GCF of 1834 and 1838

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

GCF of:
and

Greatest Common Factor of 1834 and 1838

GCF of 1834 and 1838 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 1838


2 1838
919 919
1

Prime factors of 1838 are 2,919. Prime factorization of 1838 in exponential form is:

1838 = 21×9191

∴ So by taking common prime factors GCF of 1834 and 1838 is 2

Greatest Common Factor of 1834 and 1838 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 1838

List of positive integer factors of 1838 that divides 1838 without a remainder.

1,2,919,1838

Greatest Common Factor

We found the factors and prime factorization of 1834 and 1838. The biggest common factor number is the GCF number.
So the greatest common factor 1834 and 1838 is 2.

Also check out the Least Common Multiple of 1834 and 1838

Properties of GCF 1834 and 1838

(i) The GCF of 1834 and 1838 is associative

GCF of 1834 and 1838 = GCF of 1838 and 1834

Related Greatest Common Factor of 1834

Related Greatest Common Factor of 1838

Frequently Asked Questions on GCF of 1834 and 1838

1. What is the GCF of 1834 and 1838?

Answer: GCF of 1834 and 1838 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 1838?

Answer: Factors of 1838 are 1, 2, 919, 1838. There are 4 integers that are factors of 1838. The greatest factor of 1838 is 1838.

4. How to Find the GCF of 1834 and 1838?

Answer:

Greatest Common Factor of 1834 and 1838 = 2

Step 1: Find the prime factorization of 1834

1834 = 2 x 7 x 131

Step 2: Find the prime factorization of 1838

1838 = 2 x 919

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 1838 is 2