Greatest Common Factor of 3829 and 3836

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, 3836 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3829 and 3836 is 7.

GCF(3829,3836) = 7

GCF of 3829 and 3836

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

GCF of:
and

Greatest Common Factor of 3829 and 3836

GCF of 3829 and 3836 is 7

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 3836


2 3836
2 1918
7 959
137 137
1

Prime factors of 3836 are 2,7,137. Prime factorization of 3836 in exponential form is:

3836 = 22×71×1371

∴ So by taking common prime factors GCF of 3829 and 3836 is 7

Greatest Common Factor of 3829 and 3836 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 3836

List of positive integer factors of 3836 that divides 3836 without a remainder.

1,2,4,7,14,28,137,274,548,959,1918,3836

Greatest Common Factor

We found the factors and prime factorization of 3829 and 3836. The biggest common factor number is the GCF number.
So the greatest common factor 3829 and 3836 is 7.

Also check out the Least Common Multiple of 3829 and 3836

Properties of GCF 3829 and 3836

(i) The GCF of 3829 and 3836 is associative

GCF of 3829 and 3836 = GCF of 3836 and 3829

Related Greatest Common Factor of 3829

Related Greatest Common Factor of 3836

Frequently Asked Questions on GCF of 3829 and 3836

1. What is the GCF of 3829 and 3836?

Answer: GCF of 3829 and 3836 is 7.

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 3836?

Answer: Factors of 3836 are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836. There are 12 integers that are factors of 3836. The greatest factor of 3836 is 3836.

4. How to Find the GCF of 3829 and 3836?

Answer:

Greatest Common Factor of 3829 and 3836 = 7

Step 1: Find the prime factorization of 3829

3829 = 7 x 547

Step 2: Find the prime factorization of 3836

3836 = 2 x 2 x 7 x 137

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3829 and 3836 is 7