Greatest Common Factor of 3808 and 3812

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, 3812 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3808 and 3812 is 4.

GCF(3808,3812) = 4

GCF of 3808 and 3812

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

GCF of:
and

Greatest Common Factor of 3808 and 3812

GCF of 3808 and 3812 is 4

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 3812


2 3812
2 1906
953 953
1

Prime factors of 3812 are 2,953. Prime factorization of 3812 in exponential form is:

3812 = 22×9531

∴ So by taking common prime factors GCF of 3808 and 3812 is 4

Greatest Common Factor of 3808 and 3812 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 3812

List of positive integer factors of 3812 that divides 3812 without a remainder.

1,2,4,953,1906,3812

Greatest Common Factor

We found the factors and prime factorization of 3808 and 3812. The biggest common factor number is the GCF number.
So the greatest common factor 3808 and 3812 is 4.

Also check out the Least Common Multiple of 3808 and 3812

Properties of GCF 3808 and 3812

(i) The GCF of 3808 and 3812 is associative

GCF of 3808 and 3812 = GCF of 3812 and 3808

Related Greatest Common Factor of 3808

Related Greatest Common Factor of 3812

Frequently Asked Questions on GCF of 3808 and 3812

1. What is the GCF of 3808 and 3812?

Answer: GCF of 3808 and 3812 is 4.

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 3812?

Answer: Factors of 3812 are 1, 2, 4, 953, 1906, 3812. There are 6 integers that are factors of 3812. The greatest factor of 3812 is 3812.

4. How to Find the GCF of 3808 and 3812?

Answer:

Greatest Common Factor of 3808 and 3812 = 4

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 3812

3812 = 2 x 2 x 953

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3808 and 3812 is 4