Greatest Common Factor of 1896 and 1897

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 1896, 1897 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1896 and 1897 is 1.

GCF(1896,1897) = 1

GCF of 1896 and 1897

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

GCF of:
and

Greatest Common Factor of 1896 and 1897

GCF of 1896 and 1897 is 1

Prime Factorization of 1896


2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 1896 are 2,3,79. Prime factorization of 1896 in exponential form is:

1896 = 23×31×791

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

∴ So by taking common prime factors GCF of 1896 and 1897 is 1

Greatest Common Factor of 1896 and 1897 by matching factors method

Factors of 1896

List of positive integer factors of 1896 that divides 1896 without a remainder.

1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896

Factors of 1897

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

1,7,271,1897

Greatest Common Factor

We found the factors and prime factorization of 1896 and 1897. The biggest common factor number is the GCF number.
So the greatest common factor 1896 and 1897 is 1.

Also check out the Least Common Multiple of 1896 and 1897

Properties of GCF 1896 and 1897

(i) The GCF of 1896 and 1897 is associative

GCF of 1896 and 1897 = GCF of 1897 and 1896

Related Greatest Common Factor of 1896

Related Greatest Common Factor of 1897

Frequently Asked Questions on GCF of 1896 and 1897

1. What is the GCF of 1896 and 1897?

Answer: GCF of 1896 and 1897 is 1.

2. What are the Factors of 1896?

Answer: Factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896. There are 16 integers that are factors of 1896. The greatest factor of 1896 is 1896.

3. 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.

4. How to Find the GCF of 1896 and 1897?

Answer:

Greatest Common Factor of 1896 and 1897 = 1

Step 1: Find the prime factorization of 1896

1896 = 2 x 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 1897

1897 = 7 x 271

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1896 and 1897 is 1