Greatest Common Factor of 3908 and 3912

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 3908, 3912 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3908 and 3912 is 4.

GCF(3908,3912) = 4

GCF of 3908 and 3912

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

GCF of:
and

Greatest Common Factor of 3908 and 3912

GCF of 3908 and 3912 is 4

Prime Factorization of 3908


2 3908
2 1954
977 977
1

Prime factors of 3908 are 2,977. Prime factorization of 3908 in exponential form is:

3908 = 22×9771

Prime Factorization of 3912


2 3912
2 1956
2 978
3 489
163 163
1

Prime factors of 3912 are 2,3,163. Prime factorization of 3912 in exponential form is:

3912 = 23×31×1631

∴ So by taking common prime factors GCF of 3908 and 3912 is 4

Greatest Common Factor of 3908 and 3912 by matching factors method

Factors of 3908

List of positive integer factors of 3908 that divides 3908 without a remainder.

1,2,4,977,1954,3908

Factors of 3912

List of positive integer factors of 3912 that divides 3912 without a remainder.

1,2,3,4,6,8,12,24,163,326,489,652,978,1304,1956,3912

Greatest Common Factor

We found the factors and prime factorization of 3908 and 3912. The biggest common factor number is the GCF number.
So the greatest common factor 3908 and 3912 is 4.

Also check out the Least Common Multiple of 3908 and 3912

Properties of GCF 3908 and 3912

(i) The GCF of 3908 and 3912 is associative

GCF of 3908 and 3912 = GCF of 3912 and 3908

Related Greatest Common Factor of 3908

Related Greatest Common Factor of 3912

Frequently Asked Questions on GCF of 3908 and 3912

1. What is the GCF of 3908 and 3912?

Answer: GCF of 3908 and 3912 is 4.

2. What are the Factors of 3908?

Answer: Factors of 3908 are 1, 2, 4, 977, 1954, 3908. There are 6 integers that are factors of 3908. The greatest factor of 3908 is 3908.

3. What are the Factors of 3912?

Answer: Factors of 3912 are 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956, 3912. There are 16 integers that are factors of 3912. The greatest factor of 3912 is 3912.

4. How to Find the GCF of 3908 and 3912?

Answer:

Greatest Common Factor of 3908 and 3912 = 4

Step 1: Find the prime factorization of 3908

3908 = 2 x 2 x 977

Step 2: Find the prime factorization of 3912

3912 = 2 x 2 x 2 x 3 x 163

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 3908 and 3912 is 4