Greatest Common Factor of 3834 and 3838

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 3834, 3838 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3834 and 3838 is 2.

GCF(3834,3838) = 2

GCF of 3834 and 3838

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

GCF of:
and

Greatest Common Factor of 3834 and 3838

GCF of 3834 and 3838 is 2

Prime Factorization of 3834


2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 3834 are 2,3,71. Prime factorization of 3834 in exponential form is:

3834 = 21×33×711

Prime Factorization of 3838


2 3838
19 1919
101 101
1

Prime factors of 3838 are 2,19,101. Prime factorization of 3838 in exponential form is:

3838 = 21×191×1011

∴ So by taking common prime factors GCF of 3834 and 3838 is 2

Greatest Common Factor of 3834 and 3838 by matching factors method

Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834

Factors of 3838

List of positive integer factors of 3838 that divides 3838 without a remainder.

1,2,19,38,101,202,1919,3838

Greatest Common Factor

We found the factors and prime factorization of 3834 and 3838. The biggest common factor number is the GCF number.
So the greatest common factor 3834 and 3838 is 2.

Also check out the Least Common Multiple of 3834 and 3838

Properties of GCF 3834 and 3838

(i) The GCF of 3834 and 3838 is associative

GCF of 3834 and 3838 = GCF of 3838 and 3834

Related Greatest Common Factor of 3834

Related Greatest Common Factor of 3838

Frequently Asked Questions on GCF of 3834 and 3838

1. What is the GCF of 3834 and 3838?

Answer: GCF of 3834 and 3838 is 2.

2. What are the Factors of 3834?

Answer: Factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834. There are 16 integers that are factors of 3834. The greatest factor of 3834 is 3834.

3. What are the Factors of 3838?

Answer: Factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838. There are 8 integers that are factors of 3838. The greatest factor of 3838 is 3838.

4. How to Find the GCF of 3834 and 3838?

Answer:

Greatest Common Factor of 3834 and 3838 = 2

Step 1: Find the prime factorization of 3834

3834 = 2 x 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 3838

3838 = 2 x 19 x 101

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 3834 and 3838 is 2