Greatest Common Factor of 3855 and 3857

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 3855, 3857 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3855 and 3857 is 1.

GCF(3855,3857) = 1

GCF of 3855 and 3857

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

GCF of:
and

Greatest Common Factor of 3855 and 3857

GCF of 3855 and 3857 is 1

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

Prime Factorization of 3857


7 3857
19 551
29 29
1

Prime factors of 3857 are 7,19,29. Prime factorization of 3857 in exponential form is:

3857 = 71×191×291

∴ So by taking common prime factors GCF of 3855 and 3857 is 1

Greatest Common Factor of 3855 and 3857 by matching factors method

Factors of 3855

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

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

Factors of 3857

List of positive integer factors of 3857 that divides 3857 without a remainder.

1,7,19,29,133,203,551,3857

Greatest Common Factor

We found the factors and prime factorization of 3855 and 3857. The biggest common factor number is the GCF number.
So the greatest common factor 3855 and 3857 is 1.

Also check out the Least Common Multiple of 3855 and 3857

Properties of GCF 3855 and 3857

(i) The GCF of 3855 and 3857 is associative

GCF of 3855 and 3857 = GCF of 3857 and 3855

Frequently Asked Questions on GCF of 3855 and 3857

1. What is the GCF of 3855 and 3857?

Answer: GCF of 3855 and 3857 is 1.

2. 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.

3. What are the Factors of 3857?

Answer: Factors of 3857 are 1, 7, 19, 29, 133, 203, 551, 3857. There are 8 integers that are factors of 3857. The greatest factor of 3857 is 3857.

4. How to Find the GCF of 3855 and 3857?

Answer:

Greatest Common Factor of 3855 and 3857 = 1

Step 1: Find the prime factorization of 3855

3855 = 3 x 5 x 257

Step 2: Find the prime factorization of 3857

3857 = 7 x 19 x 29

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 3855 and 3857 is 1