Greatest Common Factor of 1830 and 1835

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 1830, 1835 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1830 and 1835 is 5.

GCF(1830,1835) = 5

GCF of 1830 and 1835

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

GCF of:
and

Greatest Common Factor of 1830 and 1835

GCF of 1830 and 1835 is 5

Prime Factorization of 1830


2 1830
3 915
5 305
61 61
1

Prime factors of 1830 are 2,3,5,61. Prime factorization of 1830 in exponential form is:

1830 = 21×31×51×611

Prime Factorization of 1835


5 1835
367 367
1

Prime factors of 1835 are 5,367. Prime factorization of 1835 in exponential form is:

1835 = 51×3671

∴ So by taking common prime factors GCF of 1830 and 1835 is 5

Greatest Common Factor of 1830 and 1835 by matching factors method

Factors of 1830

List of positive integer factors of 1830 that divides 1830 without a remainder.

1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830

Factors of 1835

List of positive integer factors of 1835 that divides 1835 without a remainder.

1,5,367,1835

Greatest Common Factor

We found the factors and prime factorization of 1830 and 1835. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1835 is 5.

Also check out the Least Common Multiple of 1830 and 1835

Properties of GCF 1830 and 1835

(i) The GCF of 1830 and 1835 is associative

GCF of 1830 and 1835 = GCF of 1835 and 1830

Related Greatest Common Factor of 1830

Related Greatest Common Factor of 1835

Frequently Asked Questions on GCF of 1830 and 1835

1. What is the GCF of 1830 and 1835?

Answer: GCF of 1830 and 1835 is 5.

2. What are the Factors of 1830?

Answer: Factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830. There are 16 integers that are factors of 1830. The greatest factor of 1830 is 1830.

3. What are the Factors of 1835?

Answer: Factors of 1835 are 1, 5, 367, 1835. There are 4 integers that are factors of 1835. The greatest factor of 1835 is 1835.

4. How to Find the GCF of 1830 and 1835?

Answer:

Greatest Common Factor of 1830 and 1835 = 5

Step 1: Find the prime factorization of 1830

1830 = 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 1835

1835 = 5 x 367

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 1830 and 1835 is 5