Greatest Common Factor of 1884 and 1890

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 1884, 1890 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1884 and 1890 is 6.

GCF(1884,1890) = 6

GCF of 1884 and 1890

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

GCF of:
and

Greatest Common Factor of 1884 and 1890

GCF of 1884 and 1890 is 6

Prime Factorization of 1884


2 1884
2 942
3 471
157 157
1

Prime factors of 1884 are 2,3,157. Prime factorization of 1884 in exponential form is:

1884 = 22×31×1571

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

∴ So by taking common prime factors GCF of 1884 and 1890 is 6

Greatest Common Factor of 1884 and 1890 by matching factors method

Factors of 1884

List of positive integer factors of 1884 that divides 1884 without a remainder.

1,2,3,4,6,12,157,314,471,628,942,1884

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

Greatest Common Factor

We found the factors and prime factorization of 1884 and 1890. The biggest common factor number is the GCF number.
So the greatest common factor 1884 and 1890 is 6.

Also check out the Least Common Multiple of 1884 and 1890

Properties of GCF 1884 and 1890

(i) The GCF of 1884 and 1890 is associative

GCF of 1884 and 1890 = GCF of 1890 and 1884

Related Greatest Common Factor of 1884

Related Greatest Common Factor of 1890

Frequently Asked Questions on GCF of 1884 and 1890

1. What is the GCF of 1884 and 1890?

Answer: GCF of 1884 and 1890 is 6.

2. What are the Factors of 1884?

Answer: Factors of 1884 are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884. There are 12 integers that are factors of 1884. The greatest factor of 1884 is 1884.

3. 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.

4. How to Find the GCF of 1884 and 1890?

Answer:

Greatest Common Factor of 1884 and 1890 = 6

Step 1: Find the prime factorization of 1884

1884 = 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 1890

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1884 and 1890 is 6