Greatest Common Factor of 1890 and 1895

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 1890, 1895 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1890 and 1895 is 5.

GCF(1890,1895) = 5

GCF of 1890 and 1895

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

GCF of:
and

Greatest Common Factor of 1890 and 1895

GCF of 1890 and 1895 is 5

Prime Factorization of 1890


2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 1890 are 2,3,5,7. Prime factorization of 1890 in exponential form is:

1890 = 21×33×51×71

Prime Factorization of 1895


5 1895
379 379
1

Prime factors of 1895 are 5,379. Prime factorization of 1895 in exponential form is:

1895 = 51×3791

∴ So by taking common prime factors GCF of 1890 and 1895 is 5

Greatest Common Factor of 1890 and 1895 by matching factors method

Factors of 1890

List of positive integer factors of 1890 that divides 1890 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890

Factors of 1895

List of positive integer factors of 1895 that divides 1895 without a remainder.

1,5,379,1895

Greatest Common Factor

We found the factors and prime factorization of 1890 and 1895. The biggest common factor number is the GCF number.
So the greatest common factor 1890 and 1895 is 5.

Also check out the Least Common Multiple of 1890 and 1895

Properties of GCF 1890 and 1895

(i) The GCF of 1890 and 1895 is associative

GCF of 1890 and 1895 = GCF of 1895 and 1890

Related Greatest Common Factor of 1890

Related Greatest Common Factor of 1895

Frequently Asked Questions on GCF of 1890 and 1895

1. What is the GCF of 1890 and 1895?

Answer: GCF of 1890 and 1895 is 5.

2. What are the Factors of 1890?

Answer: Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890. There are 32 integers that are factors of 1890. The greatest factor of 1890 is 1890.

3. What are the Factors of 1895?

Answer: Factors of 1895 are 1, 5, 379, 1895. There are 4 integers that are factors of 1895. The greatest factor of 1895 is 1895.

4. How to Find the GCF of 1890 and 1895?

Answer:

Greatest Common Factor of 1890 and 1895 = 5

Step 1: Find the prime factorization of 1890

1890 = 2 x 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 1895

1895 = 5 x 379

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1890 and 1895 is 5