Greatest Common Factor of 3836 and 3842

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 3836, 3842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3836 and 3842 is 2.

GCF(3836,3842) = 2

GCF of 3836 and 3842

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

GCF of:
and

Greatest Common Factor of 3836 and 3842

GCF of 3836 and 3842 is 2

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

Prime Factorization of 3842


2 3842
17 1921
113 113
1

Prime factors of 3842 are 2,17,113. Prime factorization of 3842 in exponential form is:

3842 = 21×171×1131

∴ So by taking common prime factors GCF of 3836 and 3842 is 2

Greatest Common Factor of 3836 and 3842 by matching factors method

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

Factors of 3842

List of positive integer factors of 3842 that divides 3842 without a remainder.

1,2,17,34,113,226,1921,3842

Greatest Common Factor

We found the factors and prime factorization of 3836 and 3842. The biggest common factor number is the GCF number.
So the greatest common factor 3836 and 3842 is 2.

Also check out the Least Common Multiple of 3836 and 3842

Properties of GCF 3836 and 3842

(i) The GCF of 3836 and 3842 is associative

GCF of 3836 and 3842 = GCF of 3842 and 3836

Related Greatest Common Factor of 3836

Related Greatest Common Factor of 3842

Frequently Asked Questions on GCF of 3836 and 3842

1. What is the GCF of 3836 and 3842?

Answer: GCF of 3836 and 3842 is 2.

2. 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.

3. What are the Factors of 3842?

Answer: Factors of 3842 are 1, 2, 17, 34, 113, 226, 1921, 3842. There are 8 integers that are factors of 3842. The greatest factor of 3842 is 3842.

4. How to Find the GCF of 3836 and 3842?

Answer:

Greatest Common Factor of 3836 and 3842 = 2

Step 1: Find the prime factorization of 3836

3836 = 2 x 2 x 7 x 137

Step 2: Find the prime factorization of 3842

3842 = 2 x 17 x 113

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 3836 and 3842 is 2