Greatest Common Factor of 3842 and 3848

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 3842, 3848 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3842 and 3848 is 2.

GCF(3842,3848) = 2

GCF of 3842 and 3848

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

GCF of:
and

Greatest Common Factor of 3842 and 3848

GCF of 3842 and 3848 is 2

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

Prime Factorization of 3848


2 3848
2 1924
2 962
13 481
37 37
1

Prime factors of 3848 are 2,13,37. Prime factorization of 3848 in exponential form is:

3848 = 23×131×371

∴ So by taking common prime factors GCF of 3842 and 3848 is 2

Greatest Common Factor of 3842 and 3848 by matching factors method

Factors of 3842

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

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

Factors of 3848

List of positive integer factors of 3848 that divides 3848 without a remainder.

1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848

Greatest Common Factor

We found the factors and prime factorization of 3842 and 3848. The biggest common factor number is the GCF number.
So the greatest common factor 3842 and 3848 is 2.

Also check out the Least Common Multiple of 3842 and 3848

Properties of GCF 3842 and 3848

(i) The GCF of 3842 and 3848 is associative

GCF of 3842 and 3848 = GCF of 3848 and 3842

Related Greatest Common Factor of 3842

Related Greatest Common Factor of 3848

Frequently Asked Questions on GCF of 3842 and 3848

1. What is the GCF of 3842 and 3848?

Answer: GCF of 3842 and 3848 is 2.

2. 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.

3. What are the Factors of 3848?

Answer: Factors of 3848 are 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848. There are 16 integers that are factors of 3848. The greatest factor of 3848 is 3848.

4. How to Find the GCF of 3842 and 3848?

Answer:

Greatest Common Factor of 3842 and 3848 = 2

Step 1: Find the prime factorization of 3842

3842 = 2 x 17 x 113

Step 2: Find the prime factorization of 3848

3848 = 2 x 2 x 2 x 13 x 37

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 3842 and 3848 is 2