Greatest Common Factor of 3814 and 3820

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, 3820 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3814 and 3820 is 2.

GCF(3814,3820) = 2

GCF of 3814 and 3820

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

GCF of:
and

Greatest Common Factor of 3814 and 3820

GCF of 3814 and 3820 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 3820


2 3820
2 1910
5 955
191 191
1

Prime factors of 3820 are 2,5,191. Prime factorization of 3820 in exponential form is:

3820 = 22×51×1911

∴ So by taking common prime factors GCF of 3814 and 3820 is 2

Greatest Common Factor of 3814 and 3820 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 3820

List of positive integer factors of 3820 that divides 3820 without a remainder.

1,2,4,5,10,20,191,382,764,955,1910,3820

Greatest Common Factor

We found the factors and prime factorization of 3814 and 3820. The biggest common factor number is the GCF number.
So the greatest common factor 3814 and 3820 is 2.

Also check out the Least Common Multiple of 3814 and 3820

Properties of GCF 3814 and 3820

(i) The GCF of 3814 and 3820 is associative

GCF of 3814 and 3820 = GCF of 3820 and 3814

Related Greatest Common Factor of 3814

Related Greatest Common Factor of 3820

Frequently Asked Questions on GCF of 3814 and 3820

1. What is the GCF of 3814 and 3820?

Answer: GCF of 3814 and 3820 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 3820?

Answer: Factors of 3820 are 1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910, 3820. There are 12 integers that are factors of 3820. The greatest factor of 3820 is 3820.

4. How to Find the GCF of 3814 and 3820?

Answer:

Greatest Common Factor of 3814 and 3820 = 2

Step 1: Find the prime factorization of 3814

3814 = 2 x 1907

Step 2: Find the prime factorization of 3820

3820 = 2 x 2 x 5 x 191

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 3820 is 2