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 1818, 1824 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1818 and 1824 is 6.
GCF(1818,1824) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1818
2 | 1818 |
3 | 909 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 1818 are 2,3,101. Prime factorization of 1818 in exponential form is:
1818 = 21×32×1011
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 1818 and 1824 is 6
Factors of 1818
List of positive integer factors of 1818 that divides 1818 without a remainder.
1,2,3,6,9,18,101,202,303,606,909,1818
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 1818 and 1824. The biggest common factor number is the GCF number.
So the greatest common factor 1818 and 1824 is 6.
Also check out the Least Common Multiple of 1818 and 1824
(i) The GCF of 1818 and 1824 is associative
GCF of 1818 and 1824 = GCF of 1824 and 1818
1. What is the GCF of 1818 and 1824?
Answer: GCF of 1818 and 1824 is 6.
2. What are the Factors of 1818?
Answer: Factors of 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818. There are 12 integers that are factors of 1818. The greatest factor of 1818 is 1818.
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 1818 and 1824?
Answer:
Greatest Common Factor of 1818 and 1824 = 6
Step 1: Find the prime factorization of 1818
1818 = 2 x 3 x 3 x 101
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 3 = 6
Step 4: Therefore, the greatest common factor of 1818 and 1824 is 6