Greatest Common Factor of 1828 and 1830

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 1828, 1830 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1828 and 1830 is 2.

GCF(1828,1830) = 2

GCF of 1828 and 1830

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

GCF of:
and

Greatest Common Factor of 1828 and 1830

GCF of 1828 and 1830 is 2

Prime Factorization of 1828


2 1828
2 914
457 457
1

Prime factors of 1828 are 2,457. Prime factorization of 1828 in exponential form is:

1828 = 22×4571

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

∴ So by taking common prime factors GCF of 1828 and 1830 is 2

Greatest Common Factor of 1828 and 1830 by matching factors method

Factors of 1828

List of positive integer factors of 1828 that divides 1828 without a remainder.

1,2,4,457,914,1828

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

Greatest Common Factor

We found the factors and prime factorization of 1828 and 1830. The biggest common factor number is the GCF number.
So the greatest common factor 1828 and 1830 is 2.

Also check out the Least Common Multiple of 1828 and 1830

Properties of GCF 1828 and 1830

(i) The GCF of 1828 and 1830 is associative

GCF of 1828 and 1830 = GCF of 1830 and 1828

Related Greatest Common Factor of 1828

Related Greatest Common Factor of 1830

Frequently Asked Questions on GCF of 1828 and 1830

1. What is the GCF of 1828 and 1830?

Answer: GCF of 1828 and 1830 is 2.

2. What are the Factors of 1828?

Answer: Factors of 1828 are 1, 2, 4, 457, 914, 1828. There are 6 integers that are factors of 1828. The greatest factor of 1828 is 1828.

3. 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.

4. How to Find the GCF of 1828 and 1830?

Answer:

Greatest Common Factor of 1828 and 1830 = 2

Step 1: Find the prime factorization of 1828

1828 = 2 x 2 x 457

Step 2: Find the prime factorization of 1830

1830 = 2 x 3 x 5 x 61

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1828 and 1830 is 2