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 1819, 1824 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1819 and 1824 is 1.
GCF(1819,1824) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1819
17 | 1819 |
107 | 107 |
1 |
Prime factors of 1819 are 17,107. Prime factorization of 1819 in exponential form is:
1819 = 171×1071
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 1819 and 1824 is 1
Factors of 1819
List of positive integer factors of 1819 that divides 1819 without a remainder.
1,17,107,1819
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 1819 and 1824. The biggest common factor number is the GCF number.
So the greatest common factor 1819 and 1824 is 1.
Also check out the Least Common Multiple of 1819 and 1824
(i) The GCF of 1819 and 1824 is associative
GCF of 1819 and 1824 = GCF of 1824 and 1819
1. What is the GCF of 1819 and 1824?
Answer: GCF of 1819 and 1824 is 1.
2. What are the Factors of 1819?
Answer: Factors of 1819 are 1, 17, 107, 1819. There are 4 integers that are factors of 1819. The greatest factor of 1819 is 1819.
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 1819 and 1824?
Answer:
Greatest Common Factor of 1819 and 1824 = 1
Step 1: Find the prime factorization of 1819
1819 = 17 x 107
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 = = 1
Step 4: Therefore, the greatest common factor of 1819 and 1824 is 1