Greatest Common Factor of 1824 and 1832

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, 1832 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1824 and 1832 is 8.

GCF(1824,1832) = 8

GCF of 1824 and 1832

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

GCF of:
and

Greatest Common Factor of 1824 and 1832

GCF of 1824 and 1832 is 8

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 1832


2 1832
2 916
2 458
229 229
1

Prime factors of 1832 are 2,229. Prime factorization of 1832 in exponential form is:

1832 = 23×2291

∴ So by taking common prime factors GCF of 1824 and 1832 is 8

Greatest Common Factor of 1824 and 1832 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 1832

List of positive integer factors of 1832 that divides 1832 without a remainder.

1,2,4,8,229,458,916,1832

Greatest Common Factor

We found the factors and prime factorization of 1824 and 1832. The biggest common factor number is the GCF number.
So the greatest common factor 1824 and 1832 is 8.

Also check out the Least Common Multiple of 1824 and 1832

Properties of GCF 1824 and 1832

(i) The GCF of 1824 and 1832 is associative

GCF of 1824 and 1832 = GCF of 1832 and 1824

Related Greatest Common Factor of 1824

Related Greatest Common Factor of 1832

Frequently Asked Questions on GCF of 1824 and 1832

1. What is the GCF of 1824 and 1832?

Answer: GCF of 1824 and 1832 is 8.

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 1832?

Answer: Factors of 1832 are 1, 2, 4, 8, 229, 458, 916, 1832. There are 8 integers that are factors of 1832. The greatest factor of 1832 is 1832.

4. How to Find the GCF of 1824 and 1832?

Answer:

Greatest Common Factor of 1824 and 1832 = 8

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 1832

1832 = 2 x 2 x 2 x 229

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1824 and 1832 is 8