Greatest Common Factor of 3865 and 3870

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 3865, 3870 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3865 and 3870 is 5.

GCF(3865,3870) = 5

GCF of 3865 and 3870

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

GCF of:
and

Greatest Common Factor of 3865 and 3870

GCF of 3865 and 3870 is 5

Prime Factorization of 3865


5 3865
773 773
1

Prime factors of 3865 are 5,773. Prime factorization of 3865 in exponential form is:

3865 = 51×7731

Prime Factorization of 3870


2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 3870 are 2,3,5,43. Prime factorization of 3870 in exponential form is:

3870 = 21×32×51×431

∴ So by taking common prime factors GCF of 3865 and 3870 is 5

Greatest Common Factor of 3865 and 3870 by matching factors method

Factors of 3865

List of positive integer factors of 3865 that divides 3865 without a remainder.

1,5,773,3865

Factors of 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870

Greatest Common Factor

We found the factors and prime factorization of 3865 and 3870. The biggest common factor number is the GCF number.
So the greatest common factor 3865 and 3870 is 5.

Also check out the Least Common Multiple of 3865 and 3870

Properties of GCF 3865 and 3870

(i) The GCF of 3865 and 3870 is associative

GCF of 3865 and 3870 = GCF of 3870 and 3865

Related Greatest Common Factor of 3865

Related Greatest Common Factor of 3870

Frequently Asked Questions on GCF of 3865 and 3870

1. What is the GCF of 3865 and 3870?

Answer: GCF of 3865 and 3870 is 5.

2. What are the Factors of 3865?

Answer: Factors of 3865 are 1, 5, 773, 3865. There are 4 integers that are factors of 3865. The greatest factor of 3865 is 3865.

3. What are the Factors of 3870?

Answer: Factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870. There are 24 integers that are factors of 3870. The greatest factor of 3870 is 3870.

4. How to Find the GCF of 3865 and 3870?

Answer:

Greatest Common Factor of 3865 and 3870 = 5

Step 1: Find the prime factorization of 3865

3865 = 5 x 773

Step 2: Find the prime factorization of 3870

3870 = 2 x 3 x 3 x 5 x 43

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 3865 and 3870 is 5