Greatest Common Factor of 3867 and 3871

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 3867, 3871 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3867 and 3871 is 1.

GCF(3867,3871) = 1

GCF of 3867 and 3871

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

GCF of:
and

Greatest Common Factor of 3867 and 3871

GCF of 3867 and 3871 is 1

Prime Factorization of 3867


3 3867
1289 1289
1

Prime factors of 3867 are 3,1289. Prime factorization of 3867 in exponential form is:

3867 = 31×12891

Prime Factorization of 3871


7 3871
7 553
79 79
1

Prime factors of 3871 are 7,79. Prime factorization of 3871 in exponential form is:

3871 = 72×791

∴ So by taking common prime factors GCF of 3867 and 3871 is 1

Greatest Common Factor of 3867 and 3871 by matching factors method

Factors of 3867

List of positive integer factors of 3867 that divides 3867 without a remainder.

1,3,1289,3867

Factors of 3871

List of positive integer factors of 3871 that divides 3871 without a remainder.

1,7,49,79,553,3871

Greatest Common Factor

We found the factors and prime factorization of 3867 and 3871. The biggest common factor number is the GCF number.
So the greatest common factor 3867 and 3871 is 1.

Also check out the Least Common Multiple of 3867 and 3871

Properties of GCF 3867 and 3871

(i) The GCF of 3867 and 3871 is associative

GCF of 3867 and 3871 = GCF of 3871 and 3867

Related Greatest Common Factor of 3867

Related Greatest Common Factor of 3871

Frequently Asked Questions on GCF of 3867 and 3871

1. What is the GCF of 3867 and 3871?

Answer: GCF of 3867 and 3871 is 1.

2. What are the Factors of 3867?

Answer: Factors of 3867 are 1, 3, 1289, 3867. There are 4 integers that are factors of 3867. The greatest factor of 3867 is 3867.

3. What are the Factors of 3871?

Answer: Factors of 3871 are 1, 7, 49, 79, 553, 3871. There are 6 integers that are factors of 3871. The greatest factor of 3871 is 3871.

4. How to Find the GCF of 3867 and 3871?

Answer:

Greatest Common Factor of 3867 and 3871 = 1

Step 1: Find the prime factorization of 3867

3867 = 3 x 1289

Step 2: Find the prime factorization of 3871

3871 = 7 x 7 x 79

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 3867 and 3871 is 1