Greatest Common Factor of 3829 and 3837

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 3829, 3837 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3829 and 3837 is 1.

GCF(3829,3837) = 1

GCF of 3829 and 3837

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

GCF of:
and

Greatest Common Factor of 3829 and 3837

GCF of 3829 and 3837 is 1

Prime Factorization of 3829


7 3829
547 547
1

Prime factors of 3829 are 7,547. Prime factorization of 3829 in exponential form is:

3829 = 71×5471

Prime Factorization of 3837


3 3837
1279 1279
1

Prime factors of 3837 are 3,1279. Prime factorization of 3837 in exponential form is:

3837 = 31×12791

∴ So by taking common prime factors GCF of 3829 and 3837 is 1

Greatest Common Factor of 3829 and 3837 by matching factors method

Factors of 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1,7,547,3829

Factors of 3837

List of positive integer factors of 3837 that divides 3837 without a remainder.

1,3,1279,3837

Greatest Common Factor

We found the factors and prime factorization of 3829 and 3837. The biggest common factor number is the GCF number.
So the greatest common factor 3829 and 3837 is 1.

Also check out the Least Common Multiple of 3829 and 3837

Properties of GCF 3829 and 3837

(i) The GCF of 3829 and 3837 is associative

GCF of 3829 and 3837 = GCF of 3837 and 3829

Frequently Asked Questions on GCF of 3829 and 3837

1. What is the GCF of 3829 and 3837?

Answer: GCF of 3829 and 3837 is 1.

2. What are the Factors of 3829?

Answer: Factors of 3829 are 1, 7, 547, 3829. There are 4 integers that are factors of 3829. The greatest factor of 3829 is 3829.

3. What are the Factors of 3837?

Answer: Factors of 3837 are 1, 3, 1279, 3837. There are 4 integers that are factors of 3837. The greatest factor of 3837 is 3837.

4. How to Find the GCF of 3829 and 3837?

Answer:

Greatest Common Factor of 3829 and 3837 = 1

Step 1: Find the prime factorization of 3829

3829 = 7 x 547

Step 2: Find the prime factorization of 3837

3837 = 3 x 1279

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 3829 and 3837 is 1