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, 1820 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1814 and 1820 is 2.
GCF(1814,1820) = 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 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
∴ So by taking common prime factors GCF of 1814 and 1820 is 2
Factors of 1814
List of positive integer factors of 1814 that divides 1814 without a remainder.
1,2,907,1814
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
Greatest Common Factor
We found the factors and prime factorization of 1814 and 1820. The biggest common factor number is the GCF number.
So the greatest common factor 1814 and 1820 is 2.
Also check out the Least Common Multiple of 1814 and 1820
(i) The GCF of 1814 and 1820 is associative
GCF of 1814 and 1820 = GCF of 1820 and 1814
1. What is the GCF of 1814 and 1820?
Answer: GCF of 1814 and 1820 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 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.
4. How to Find the GCF of 1814 and 1820?
Answer:
Greatest Common Factor of 1814 and 1820 = 2
Step 1: Find the prime factorization of 1814
1814 = 2 x 907
Step 2: Find the prime factorization of 1820
1820 = 2 x 2 x 5 x 7 x 13
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 1820 is 2