Greatest Common Factor of 1897 and 1904

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 1897, 1904 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1897 and 1904 is 7.

GCF(1897,1904) = 7

GCF of 1897 and 1904

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

GCF of:
and

Greatest Common Factor of 1897 and 1904

GCF of 1897 and 1904 is 7

Prime Factorization of 1897


7 1897
271 271
1

Prime factors of 1897 are 7,271. Prime factorization of 1897 in exponential form is:

1897 = 71×2711

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

∴ So by taking common prime factors GCF of 1897 and 1904 is 7

Greatest Common Factor of 1897 and 1904 by matching factors method

Factors of 1897

List of positive integer factors of 1897 that divides 1897 without a remainder.

1,7,271,1897

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

Greatest Common Factor

We found the factors and prime factorization of 1897 and 1904. The biggest common factor number is the GCF number.
So the greatest common factor 1897 and 1904 is 7.

Also check out the Least Common Multiple of 1897 and 1904

Properties of GCF 1897 and 1904

(i) The GCF of 1897 and 1904 is associative

GCF of 1897 and 1904 = GCF of 1904 and 1897

Related Greatest Common Factor of 1897

Related Greatest Common Factor of 1904

Frequently Asked Questions on GCF of 1897 and 1904

1. What is the GCF of 1897 and 1904?

Answer: GCF of 1897 and 1904 is 7.

2. What are the Factors of 1897?

Answer: Factors of 1897 are 1, 7, 271, 1897. There are 4 integers that are factors of 1897. The greatest factor of 1897 is 1897.

3. 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.

4. How to Find the GCF of 1897 and 1904?

Answer:

Greatest Common Factor of 1897 and 1904 = 7

Step 1: Find the prime factorization of 1897

1897 = 7 x 271

Step 2: Find the prime factorization of 1904

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

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1897 and 1904 is 7