Greatest Common Factor of 1824 and 1831

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 1824, 1831 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1824 and 1831 is 1.

GCF(1824,1831) = 1

GCF of 1824 and 1831

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

GCF of:
and

Greatest Common Factor of 1824 and 1831

GCF of 1824 and 1831 is 1

Prime Factorization of 1824


2 1824
2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 1824 are 2,3,19. Prime factorization of 1824 in exponential form is:

1824 = 25×31×191

Prime Factorization of 1831


1831 1831
1

Prime factors of 1831 are 1831. Prime factorization of 1831 in exponential form is:

1831 = 18311

∴ So by taking common prime factors GCF of 1824 and 1831 is 1

Greatest Common Factor of 1824 and 1831 by matching factors method

Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824

Factors of 1831

List of positive integer factors of 1831 that divides 1831 without a remainder.

1,1831

Greatest Common Factor

We found the factors and prime factorization of 1824 and 1831. The biggest common factor number is the GCF number.
So the greatest common factor 1824 and 1831 is 1.

Also check out the Least Common Multiple of 1824 and 1831

Properties of GCF 1824 and 1831

(i) The GCF of 1824 and 1831 is associative

GCF of 1824 and 1831 = GCF of 1831 and 1824

Related Greatest Common Factor of 1824

Related Greatest Common Factor of 1831

Frequently Asked Questions on GCF of 1824 and 1831

1. What is the GCF of 1824 and 1831?

Answer: GCF of 1824 and 1831 is 1.

2. What are the Factors of 1824?

Answer: Factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824. There are 24 integers that are factors of 1824. The greatest factor of 1824 is 1824.

3. What are the Factors of 1831?

Answer: Factors of 1831 are 1, 1831. There are 2 integers that are factors of 1831. The greatest factor of 1831 is 1831.

4. How to Find the GCF of 1824 and 1831?

Answer:

Greatest Common Factor of 1824 and 1831 = 1

Step 1: Find the prime factorization of 1824

1824 = 2 x 2 x 2 x 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 1831

1831 = 1831

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 1824 and 1831 is 1