Greatest Common Factor of 3850 and 3855

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 3850, 3855 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3850 and 3855 is 5.

GCF(3850,3855) = 5

GCF of 3850 and 3855

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

GCF of:
and

Greatest Common Factor of 3850 and 3855

GCF of 3850 and 3855 is 5

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

Prime Factorization of 3855


3 3855
5 1285
257 257
1

Prime factors of 3855 are 3,5,257. Prime factorization of 3855 in exponential form is:

3855 = 31×51×2571

∴ So by taking common prime factors GCF of 3850 and 3855 is 5

Greatest Common Factor of 3850 and 3855 by matching factors method

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

Factors of 3855

List of positive integer factors of 3855 that divides 3855 without a remainder.

1,3,5,15,257,771,1285,3855

Greatest Common Factor

We found the factors and prime factorization of 3850 and 3855. The biggest common factor number is the GCF number.
So the greatest common factor 3850 and 3855 is 5.

Also check out the Least Common Multiple of 3850 and 3855

Properties of GCF 3850 and 3855

(i) The GCF of 3850 and 3855 is associative

GCF of 3850 and 3855 = GCF of 3855 and 3850

Related Greatest Common Factor of 3850

Related Greatest Common Factor of 3855

Frequently Asked Questions on GCF of 3850 and 3855

1. What is the GCF of 3850 and 3855?

Answer: GCF of 3850 and 3855 is 5.

2. 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.

3. What are the Factors of 3855?

Answer: Factors of 3855 are 1, 3, 5, 15, 257, 771, 1285, 3855. There are 8 integers that are factors of 3855. The greatest factor of 3855 is 3855.

4. How to Find the GCF of 3850 and 3855?

Answer:

Greatest Common Factor of 3850 and 3855 = 5

Step 1: Find the prime factorization of 3850

3850 = 2 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 3855

3855 = 3 x 5 x 257

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3850 and 3855 is 5