Greatest Common Factor of 1890 and 1891

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, 1891 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1890 and 1891 is 1.

GCF(1890,1891) = 1

GCF of 1890 and 1891

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

GCF of:
and

Greatest Common Factor of 1890 and 1891

GCF of 1890 and 1891 is 1

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 1891


31 1891
61 61
1

Prime factors of 1891 are 31,61. Prime factorization of 1891 in exponential form is:

1891 = 311×611

∴ So by taking common prime factors GCF of 1890 and 1891 is 1

Greatest Common Factor of 1890 and 1891 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 1891

List of positive integer factors of 1891 that divides 1891 without a remainder.

1,31,61,1891

Greatest Common Factor

We found the factors and prime factorization of 1890 and 1891. The biggest common factor number is the GCF number.
So the greatest common factor 1890 and 1891 is 1.

Also check out the Least Common Multiple of 1890 and 1891

Properties of GCF 1890 and 1891

(i) The GCF of 1890 and 1891 is associative

GCF of 1890 and 1891 = GCF of 1891 and 1890

Related Greatest Common Factor of 1890

Related Greatest Common Factor of 1891

Frequently Asked Questions on GCF of 1890 and 1891

1. What is the GCF of 1890 and 1891?

Answer: GCF of 1890 and 1891 is 1.

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 1891?

Answer: Factors of 1891 are 1, 31, 61, 1891. There are 4 integers that are factors of 1891. The greatest factor of 1891 is 1891.

4. How to Find the GCF of 1890 and 1891?

Answer:

Greatest Common Factor of 1890 and 1891 = 1

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 1891

1891 = 31 x 61

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 1890 and 1891 is 1