Greatest Common Factor of 3808 and 3810

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 3808, 3810 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3808 and 3810 is 2.

GCF(3808,3810) = 2

GCF of 3808 and 3810

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

GCF of:
and

Greatest Common Factor of 3808 and 3810

GCF of 3808 and 3810 is 2

Prime Factorization of 3808


2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 3808 are 2,7,17. Prime factorization of 3808 in exponential form is:

3808 = 25×71×171

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

∴ So by taking common prime factors GCF of 3808 and 3810 is 2

Greatest Common Factor of 3808 and 3810 by matching factors method

Factors of 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808

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

Greatest Common Factor

We found the factors and prime factorization of 3808 and 3810. The biggest common factor number is the GCF number.
So the greatest common factor 3808 and 3810 is 2.

Also check out the Least Common Multiple of 3808 and 3810

Properties of GCF 3808 and 3810

(i) The GCF of 3808 and 3810 is associative

GCF of 3808 and 3810 = GCF of 3810 and 3808

Related Greatest Common Factor of 3808

Related Greatest Common Factor of 3810

Frequently Asked Questions on GCF of 3808 and 3810

1. What is the GCF of 3808 and 3810?

Answer: GCF of 3808 and 3810 is 2.

2. What are the Factors of 3808?

Answer: Factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808. There are 24 integers that are factors of 3808. The greatest factor of 3808 is 3808.

3. 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.

4. How to Find the GCF of 3808 and 3810?

Answer:

Greatest Common Factor of 3808 and 3810 = 2

Step 1: Find the prime factorization of 3808

3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 3810

3810 = 2 x 3 x 5 x 127

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 3808 and 3810 is 2