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 1814, 1818 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1814 and 1818 is 2.
GCF(1814,1818) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1814
2 | 1814 |
907 | 907 |
1 |
Prime factors of 1814 are 2,907. Prime factorization of 1814 in exponential form is:
1814 = 21×9071
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
∴ So by taking common prime factors GCF of 1814 and 1818 is 2
Factors of 1814
List of positive integer factors of 1814 that divides 1814 without a remainder.
1,2,907,1814
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
Greatest Common Factor
We found the factors and prime factorization of 1814 and 1818. The biggest common factor number is the GCF number.
So the greatest common factor 1814 and 1818 is 2.
Also check out the Least Common Multiple of 1814 and 1818
(i) The GCF of 1814 and 1818 is associative
GCF of 1814 and 1818 = GCF of 1818 and 1814
1. What is the GCF of 1814 and 1818?
Answer: GCF of 1814 and 1818 is 2.
2. What are the Factors of 1814?
Answer: Factors of 1814 are 1, 2, 907, 1814. There are 4 integers that are factors of 1814. The greatest factor of 1814 is 1814.
3. 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.
4. How to Find the GCF of 1814 and 1818?
Answer:
Greatest Common Factor of 1814 and 1818 = 2
Step 1: Find the prime factorization of 1814
1814 = 2 x 907
Step 2: Find the prime factorization of 1818
1818 = 2 x 3 x 3 x 101
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1814 and 1818 is 2