Greatest Common Factor of 3860 and 3867

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 3860, 3867 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3860 and 3867 is 1.

GCF(3860,3867) = 1

GCF of 3860 and 3867

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

GCF of:
and

Greatest Common Factor of 3860 and 3867

GCF of 3860 and 3867 is 1

Prime Factorization of 3860


2 3860
2 1930
5 965
193 193
1

Prime factors of 3860 are 2,5,193. Prime factorization of 3860 in exponential form is:

3860 = 22×51×1931

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

∴ So by taking common prime factors GCF of 3860 and 3867 is 1

Greatest Common Factor of 3860 and 3867 by matching factors method

Factors of 3860

List of positive integer factors of 3860 that divides 3860 without a remainder.

1,2,4,5,10,20,193,386,772,965,1930,3860

Factors of 3867

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

1,3,1289,3867

Greatest Common Factor

We found the factors and prime factorization of 3860 and 3867. The biggest common factor number is the GCF number.
So the greatest common factor 3860 and 3867 is 1.

Also check out the Least Common Multiple of 3860 and 3867

Properties of GCF 3860 and 3867

(i) The GCF of 3860 and 3867 is associative

GCF of 3860 and 3867 = GCF of 3867 and 3860

Frequently Asked Questions on GCF of 3860 and 3867

1. What is the GCF of 3860 and 3867?

Answer: GCF of 3860 and 3867 is 1.

2. What are the Factors of 3860?

Answer: Factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860. There are 12 integers that are factors of 3860. The greatest factor of 3860 is 3860.

3. 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.

4. How to Find the GCF of 3860 and 3867?

Answer:

Greatest Common Factor of 3860 and 3867 = 1

Step 1: Find the prime factorization of 3860

3860 = 2 x 2 x 5 x 193

Step 2: Find the prime factorization of 3867

3867 = 3 x 1289

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 3860 and 3867 is 1