Greatest Common Factor of 3810 and 3815

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 3810, 3815 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3810 and 3815 is 5.

GCF(3810,3815) = 5

GCF of 3810 and 3815

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

GCF of:
and

Greatest Common Factor of 3810 and 3815

GCF of 3810 and 3815 is 5

Prime Factorization of 3810


2 3810
3 1905
5 635
127 127
1

Prime factors of 3810 are 2,3,5,127. Prime factorization of 3810 in exponential form is:

3810 = 21×31×51×1271

Prime Factorization of 3815


5 3815
7 763
109 109
1

Prime factors of 3815 are 5,7,109. Prime factorization of 3815 in exponential form is:

3815 = 51×71×1091

∴ So by taking common prime factors GCF of 3810 and 3815 is 5

Greatest Common Factor of 3810 and 3815 by matching factors method

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810

Factors of 3815

List of positive integer factors of 3815 that divides 3815 without a remainder.

1,5,7,35,109,545,763,3815

Greatest Common Factor

We found the factors and prime factorization of 3810 and 3815. The biggest common factor number is the GCF number.
So the greatest common factor 3810 and 3815 is 5.

Also check out the Least Common Multiple of 3810 and 3815

Properties of GCF 3810 and 3815

(i) The GCF of 3810 and 3815 is associative

GCF of 3810 and 3815 = GCF of 3815 and 3810

Related Greatest Common Factor of 3810

Related Greatest Common Factor of 3815

Frequently Asked Questions on GCF of 3810 and 3815

1. What is the GCF of 3810 and 3815?

Answer: GCF of 3810 and 3815 is 5.

2. What are the Factors of 3810?

Answer: Factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810. There are 16 integers that are factors of 3810. The greatest factor of 3810 is 3810.

3. What are the Factors of 3815?

Answer: Factors of 3815 are 1, 5, 7, 35, 109, 545, 763, 3815. There are 8 integers that are factors of 3815. The greatest factor of 3815 is 3815.

4. How to Find the GCF of 3810 and 3815?

Answer:

Greatest Common Factor of 3810 and 3815 = 5

Step 1: Find the prime factorization of 3810

3810 = 2 x 3 x 5 x 127

Step 2: Find the prime factorization of 3815

3815 = 5 x 7 x 109

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 3810 and 3815 is 5