Greatest Common Factor of 3904 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 3904, 3912 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3904 and 3912 is 8.

GCF(3904,3912) = 8

GCF of 3904 and 3912

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

GCF of:
and

Greatest Common Factor of 3904 and 3912

GCF of 3904 and 3912 is 8

Prime Factorization of 3904


2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 3904 are 2,61. Prime factorization of 3904 in exponential form is:

3904 = 26×611

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 3904 and 3912 is 8

Greatest Common Factor of 3904 and 3912 by matching factors method

Factors of 3904

List of positive integer factors of 3904 that divides 3904 without a remainder.

1,2,4,8,16,32,61,64,122,244,488,976,1952,3904

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 3904 and 3912. The biggest common factor number is the GCF number.
So the greatest common factor 3904 and 3912 is 8.

Also check out the Least Common Multiple of 3904 and 3912

Properties of GCF 3904 and 3912

(i) The GCF of 3904 and 3912 is associative

GCF of 3904 and 3912 = GCF of 3912 and 3904

Related Greatest Common Factor of 3904

Related Greatest Common Factor of 3912

Frequently Asked Questions on GCF of 3904 and 3912

1. What is the GCF of 3904 and 3912?

Answer: GCF of 3904 and 3912 is 8.

2. What are the Factors of 3904?

Answer: Factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904. There are 14 integers that are factors of 3904. The greatest factor of 3904 is 3904.

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 3904 and 3912?

Answer:

Greatest Common Factor of 3904 and 3912 = 8

Step 1: Find the prime factorization of 3904

3904 = 2 x 2 x 2 x 2 x 2 x 2 x 61

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 3904 and 3912 is 8