Greatest Common Factor of 3835 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 3835, 3842 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3835 and 3842 is 1.

GCF(3835,3842) = 1

GCF of 3835 and 3842

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

GCF of:
and

Greatest Common Factor of 3835 and 3842

GCF of 3835 and 3842 is 1

Prime Factorization of 3835


5 3835
13 767
59 59
1

Prime factors of 3835 are 5,13,59. Prime factorization of 3835 in exponential form is:

3835 = 51×131×591

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 3835 and 3842 is 1

Greatest Common Factor of 3835 and 3842 by matching factors method

Factors of 3835

List of positive integer factors of 3835 that divides 3835 without a remainder.

1,5,13,59,65,295,767,3835

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 3835 and 3842. The biggest common factor number is the GCF number.
So the greatest common factor 3835 and 3842 is 1.

Also check out the Least Common Multiple of 3835 and 3842

Properties of GCF 3835 and 3842

(i) The GCF of 3835 and 3842 is associative

GCF of 3835 and 3842 = GCF of 3842 and 3835

Related Greatest Common Factor of 3835

Related Greatest Common Factor of 3842

Frequently Asked Questions on GCF of 3835 and 3842

1. What is the GCF of 3835 and 3842?

Answer: GCF of 3835 and 3842 is 1.

2. What are the Factors of 3835?

Answer: Factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835. There are 8 integers that are factors of 3835. The greatest factor of 3835 is 3835.

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 3835 and 3842?

Answer:

Greatest Common Factor of 3835 and 3842 = 1

Step 1: Find the prime factorization of 3835

3835 = 5 x 13 x 59

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 = = 1

Step 4: Therefore, the greatest common factor of 3835 and 3842 is 1