Greatest Common Factor of 3802 and 3806

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 3802, 3806 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3802 and 3806 is 2.

GCF(3802,3806) = 2

GCF of 3802 and 3806

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

GCF of:
and

Greatest Common Factor of 3802 and 3806

GCF of 3802 and 3806 is 2

Prime Factorization of 3802


2 3802
1901 1901
1

Prime factors of 3802 are 2,1901. Prime factorization of 3802 in exponential form is:

3802 = 21×19011

Prime Factorization of 3806


2 3806
11 1903
173 173
1

Prime factors of 3806 are 2,11,173. Prime factorization of 3806 in exponential form is:

3806 = 21×111×1731

∴ So by taking common prime factors GCF of 3802 and 3806 is 2

Greatest Common Factor of 3802 and 3806 by matching factors method

Factors of 3802

List of positive integer factors of 3802 that divides 3802 without a remainder.

1,2,1901,3802

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1,2,11,22,173,346,1903,3806

Greatest Common Factor

We found the factors and prime factorization of 3802 and 3806. The biggest common factor number is the GCF number.
So the greatest common factor 3802 and 3806 is 2.

Also check out the Least Common Multiple of 3802 and 3806

Properties of GCF 3802 and 3806

(i) The GCF of 3802 and 3806 is associative

GCF of 3802 and 3806 = GCF of 3806 and 3802

Related Greatest Common Factor of 3802

Related Greatest Common Factor of 3806

Frequently Asked Questions on GCF of 3802 and 3806

1. What is the GCF of 3802 and 3806?

Answer: GCF of 3802 and 3806 is 2.

2. What are the Factors of 3802?

Answer: Factors of 3802 are 1, 2, 1901, 3802. There are 4 integers that are factors of 3802. The greatest factor of 3802 is 3802.

3. What are the Factors of 3806?

Answer: Factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806. There are 8 integers that are factors of 3806. The greatest factor of 3806 is 3806.

4. How to Find the GCF of 3802 and 3806?

Answer:

Greatest Common Factor of 3802 and 3806 = 2

Step 1: Find the prime factorization of 3802

3802 = 2 x 1901

Step 2: Find the prime factorization of 3806

3806 = 2 x 11 x 173

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 3802 and 3806 is 2