Greatest Common Factor of 3810 and 3818

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, 3818 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3810 and 3818 is 2.

GCF(3810,3818) = 2

GCF of 3810 and 3818

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

GCF of:
and

Greatest Common Factor of 3810 and 3818

GCF of 3810 and 3818 is 2

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 3818


2 3818
23 1909
83 83
1

Prime factors of 3818 are 2,23,83. Prime factorization of 3818 in exponential form is:

3818 = 21×231×831

∴ So by taking common prime factors GCF of 3810 and 3818 is 2

Greatest Common Factor of 3810 and 3818 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 3818

List of positive integer factors of 3818 that divides 3818 without a remainder.

1,2,23,46,83,166,1909,3818

Greatest Common Factor

We found the factors and prime factorization of 3810 and 3818. The biggest common factor number is the GCF number.
So the greatest common factor 3810 and 3818 is 2.

Also check out the Least Common Multiple of 3810 and 3818

Properties of GCF 3810 and 3818

(i) The GCF of 3810 and 3818 is associative

GCF of 3810 and 3818 = GCF of 3818 and 3810

Related Greatest Common Factor of 3810

Related Greatest Common Factor of 3818

Frequently Asked Questions on GCF of 3810 and 3818

1. What is the GCF of 3810 and 3818?

Answer: GCF of 3810 and 3818 is 2.

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 3818?

Answer: Factors of 3818 are 1, 2, 23, 46, 83, 166, 1909, 3818. There are 8 integers that are factors of 3818. The greatest factor of 3818 is 3818.

4. How to Find the GCF of 3810 and 3818?

Answer:

Greatest Common Factor of 3810 and 3818 = 2

Step 1: Find the prime factorization of 3810

3810 = 2 x 3 x 5 x 127

Step 2: Find the prime factorization of 3818

3818 = 2 x 23 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 3810 and 3818 is 2