Greatest Common Factor of 3814 and 3816

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 3814, 3816 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3814 and 3816 is 2.

GCF(3814,3816) = 2

GCF of 3814 and 3816

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

GCF of:
and

Greatest Common Factor of 3814 and 3816

GCF of 3814 and 3816 is 2

Prime Factorization of 3814


2 3814
1907 1907
1

Prime factors of 3814 are 2,1907. Prime factorization of 3814 in exponential form is:

3814 = 21×19071

Prime Factorization of 3816


2 3816
2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 3816 are 2,3,53. Prime factorization of 3816 in exponential form is:

3816 = 23×32×531

∴ So by taking common prime factors GCF of 3814 and 3816 is 2

Greatest Common Factor of 3814 and 3816 by matching factors method

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1,2,1907,3814

Factors of 3816

List of positive integer factors of 3816 that divides 3816 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816

Greatest Common Factor

We found the factors and prime factorization of 3814 and 3816. The biggest common factor number is the GCF number.
So the greatest common factor 3814 and 3816 is 2.

Also check out the Least Common Multiple of 3814 and 3816

Properties of GCF 3814 and 3816

(i) The GCF of 3814 and 3816 is associative

GCF of 3814 and 3816 = GCF of 3816 and 3814

Related Greatest Common Factor of 3814

Related Greatest Common Factor of 3816

Frequently Asked Questions on GCF of 3814 and 3816

1. What is the GCF of 3814 and 3816?

Answer: GCF of 3814 and 3816 is 2.

2. What are the Factors of 3814?

Answer: Factors of 3814 are 1, 2, 1907, 3814. There are 4 integers that are factors of 3814. The greatest factor of 3814 is 3814.

3. What are the Factors of 3816?

Answer: Factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816. There are 24 integers that are factors of 3816. The greatest factor of 3816 is 3816.

4. How to Find the GCF of 3814 and 3816?

Answer:

Greatest Common Factor of 3814 and 3816 = 2

Step 1: Find the prime factorization of 3814

3814 = 2 x 1907

Step 2: Find the prime factorization of 3816

3816 = 2 x 2 x 2 x 3 x 3 x 53

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 3814 and 3816 is 2