Greatest Common Factor of 1820 and 1824

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 1820, 1824 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1820 and 1824 is 4.

GCF(1820,1824) = 4

GCF of 1820 and 1824

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

GCF of:
and

Greatest Common Factor of 1820 and 1824

GCF of 1820 and 1824 is 4

Prime Factorization of 1820


2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 1820 are 2,5,7,13. Prime factorization of 1820 in exponential form is:

1820 = 22×51×71×131

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

∴ So by taking common prime factors GCF of 1820 and 1824 is 4

Greatest Common Factor of 1820 and 1824 by matching factors method

Factors of 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820

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

Greatest Common Factor

We found the factors and prime factorization of 1820 and 1824. The biggest common factor number is the GCF number.
So the greatest common factor 1820 and 1824 is 4.

Also check out the Least Common Multiple of 1820 and 1824

Properties of GCF 1820 and 1824

(i) The GCF of 1820 and 1824 is associative

GCF of 1820 and 1824 = GCF of 1824 and 1820

Related Greatest Common Factor of 1820

Related Greatest Common Factor of 1824

Frequently Asked Questions on GCF of 1820 and 1824

1. What is the GCF of 1820 and 1824?

Answer: GCF of 1820 and 1824 is 4.

2. What are the Factors of 1820?

Answer: Factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820. There are 24 integers that are factors of 1820. The greatest factor of 1820 is 1820.

3. 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.

4. How to Find the GCF of 1820 and 1824?

Answer:

Greatest Common Factor of 1820 and 1824 = 4

Step 1: Find the prime factorization of 1820

1820 = 2 x 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 1824

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1820 and 1824 is 4