Greatest Common Factor of 3846 and 3850

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 3846, 3850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3846 and 3850 is 2.

GCF(3846,3850) = 2

GCF of 3846 and 3850

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

GCF of:
and

Greatest Common Factor of 3846 and 3850

GCF of 3846 and 3850 is 2

Prime Factorization of 3846


2 3846
3 1923
641 641
1

Prime factors of 3846 are 2,3,641. Prime factorization of 3846 in exponential form is:

3846 = 21×31×6411

Prime Factorization of 3850


2 3850
5 1925
5 385
7 77
11 11
1

Prime factors of 3850 are 2,5,7,11. Prime factorization of 3850 in exponential form is:

3850 = 21×52×71×111

∴ So by taking common prime factors GCF of 3846 and 3850 is 2

Greatest Common Factor of 3846 and 3850 by matching factors method

Factors of 3846

List of positive integer factors of 3846 that divides 3846 without a remainder.

1,2,3,6,641,1282,1923,3846

Factors of 3850

List of positive integer factors of 3850 that divides 3850 without a remainder.

1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850

Greatest Common Factor

We found the factors and prime factorization of 3846 and 3850. The biggest common factor number is the GCF number.
So the greatest common factor 3846 and 3850 is 2.

Also check out the Least Common Multiple of 3846 and 3850

Properties of GCF 3846 and 3850

(i) The GCF of 3846 and 3850 is associative

GCF of 3846 and 3850 = GCF of 3850 and 3846

Related Greatest Common Factor of 3846

Related Greatest Common Factor of 3850

Frequently Asked Questions on GCF of 3846 and 3850

1. What is the GCF of 3846 and 3850?

Answer: GCF of 3846 and 3850 is 2.

2. What are the Factors of 3846?

Answer: Factors of 3846 are 1, 2, 3, 6, 641, 1282, 1923, 3846. There are 8 integers that are factors of 3846. The greatest factor of 3846 is 3846.

3. What are the Factors of 3850?

Answer: Factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850. There are 24 integers that are factors of 3850. The greatest factor of 3850 is 3850.

4. How to Find the GCF of 3846 and 3850?

Answer:

Greatest Common Factor of 3846 and 3850 = 2

Step 1: Find the prime factorization of 3846

3846 = 2 x 3 x 641

Step 2: Find the prime factorization of 3850

3850 = 2 x 5 x 5 x 7 x 11

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 3846 and 3850 is 2