Greatest Common Factor of 1904 and 1912

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 1904, 1912 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1904 and 1912 is 8.

GCF(1904,1912) = 8

GCF of 1904 and 1912

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

GCF of:
and

Greatest Common Factor of 1904 and 1912

GCF of 1904 and 1912 is 8

Prime Factorization of 1904


2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 1904 are 2,7,17. Prime factorization of 1904 in exponential form is:

1904 = 24×71×171

Prime Factorization of 1912


2 1912
2 956
2 478
239 239
1

Prime factors of 1912 are 2,239. Prime factorization of 1912 in exponential form is:

1912 = 23×2391

∴ So by taking common prime factors GCF of 1904 and 1912 is 8

Greatest Common Factor of 1904 and 1912 by matching factors method

Factors of 1904

List of positive integer factors of 1904 that divides 1904 without a remainder.

1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904

Factors of 1912

List of positive integer factors of 1912 that divides 1912 without a remainder.

1,2,4,8,239,478,956,1912

Greatest Common Factor

We found the factors and prime factorization of 1904 and 1912. The biggest common factor number is the GCF number.
So the greatest common factor 1904 and 1912 is 8.

Also check out the Least Common Multiple of 1904 and 1912

Properties of GCF 1904 and 1912

(i) The GCF of 1904 and 1912 is associative

GCF of 1904 and 1912 = GCF of 1912 and 1904

Related Greatest Common Factor of 1904

Related Greatest Common Factor of 1912

Frequently Asked Questions on GCF of 1904 and 1912

1. What is the GCF of 1904 and 1912?

Answer: GCF of 1904 and 1912 is 8.

2. What are the Factors of 1904?

Answer: Factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904. There are 20 integers that are factors of 1904. The greatest factor of 1904 is 1904.

3. What are the Factors of 1912?

Answer: Factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912. There are 8 integers that are factors of 1912. The greatest factor of 1912 is 1912.

4. How to Find the GCF of 1904 and 1912?

Answer:

Greatest Common Factor of 1904 and 1912 = 8

Step 1: Find the prime factorization of 1904

1904 = 2 x 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 1912

1912 = 2 x 2 x 2 x 239

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 1904 and 1912 is 8