Greatest Common Factor of 1822 and 1827

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 1822, 1827 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1822 and 1827 is 1.

GCF(1822,1827) = 1

GCF of 1822 and 1827

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

GCF of:
and

Greatest Common Factor of 1822 and 1827

GCF of 1822 and 1827 is 1

Prime Factorization of 1822


2 1822
911 911
1

Prime factors of 1822 are 2,911. Prime factorization of 1822 in exponential form is:

1822 = 21×9111

Prime Factorization of 1827


3 1827
3 609
7 203
29 29
1

Prime factors of 1827 are 3,7,29. Prime factorization of 1827 in exponential form is:

1827 = 32×71×291

∴ So by taking common prime factors GCF of 1822 and 1827 is 1

Greatest Common Factor of 1822 and 1827 by matching factors method

Factors of 1822

List of positive integer factors of 1822 that divides 1822 without a remainder.

1,2,911,1822

Factors of 1827

List of positive integer factors of 1827 that divides 1827 without a remainder.

1,3,7,9,21,29,63,87,203,261,609,1827

Greatest Common Factor

We found the factors and prime factorization of 1822 and 1827. The biggest common factor number is the GCF number.
So the greatest common factor 1822 and 1827 is 1.

Also check out the Least Common Multiple of 1822 and 1827

Properties of GCF 1822 and 1827

(i) The GCF of 1822 and 1827 is associative

GCF of 1822 and 1827 = GCF of 1827 and 1822

Related Greatest Common Factor of 1822

Related Greatest Common Factor of 1827

Frequently Asked Questions on GCF of 1822 and 1827

1. What is the GCF of 1822 and 1827?

Answer: GCF of 1822 and 1827 is 1.

2. What are the Factors of 1822?

Answer: Factors of 1822 are 1, 2, 911, 1822. There are 4 integers that are factors of 1822. The greatest factor of 1822 is 1822.

3. What are the Factors of 1827?

Answer: Factors of 1827 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827. There are 12 integers that are factors of 1827. The greatest factor of 1827 is 1827.

4. How to Find the GCF of 1822 and 1827?

Answer:

Greatest Common Factor of 1822 and 1827 = 1

Step 1: Find the prime factorization of 1822

1822 = 2 x 911

Step 2: Find the prime factorization of 1827

1827 = 3 x 3 x 7 x 29

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 1822 and 1827 is 1