Greatest Common Factor of 3838 and 3843

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 3838, 3843 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3838 and 3843 is 1.

GCF(3838,3843) = 1

GCF of 3838 and 3843

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

GCF of:
and

Greatest Common Factor of 3838 and 3843

GCF of 3838 and 3843 is 1

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

Prime Factorization of 3843


3 3843
3 1281
7 427
61 61
1

Prime factors of 3843 are 3,7,61. Prime factorization of 3843 in exponential form is:

3843 = 32×71×611

∴ So by taking common prime factors GCF of 3838 and 3843 is 1

Greatest Common Factor of 3838 and 3843 by matching factors method

Factors of 3838

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

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

Factors of 3843

List of positive integer factors of 3843 that divides 3843 without a remainder.

1,3,7,9,21,61,63,183,427,549,1281,3843

Greatest Common Factor

We found the factors and prime factorization of 3838 and 3843. The biggest common factor number is the GCF number.
So the greatest common factor 3838 and 3843 is 1.

Also check out the Least Common Multiple of 3838 and 3843

Properties of GCF 3838 and 3843

(i) The GCF of 3838 and 3843 is associative

GCF of 3838 and 3843 = GCF of 3843 and 3838

Frequently Asked Questions on GCF of 3838 and 3843

1. What is the GCF of 3838 and 3843?

Answer: GCF of 3838 and 3843 is 1.

2. 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.

3. What are the Factors of 3843?

Answer: Factors of 3843 are 1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843. There are 12 integers that are factors of 3843. The greatest factor of 3843 is 3843.

4. How to Find the GCF of 3838 and 3843?

Answer:

Greatest Common Factor of 3838 and 3843 = 1

Step 1: Find the prime factorization of 3838

3838 = 2 x 19 x 101

Step 2: Find the prime factorization of 3843

3843 = 3 x 3 x 7 x 61

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3838 and 3843 is 1