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 1803, 1808 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1803 and 1808 is 1.
GCF(1803,1808) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1803
3 | 1803 |
601 | 601 |
1 |
Prime factors of 1803 are 3,601. Prime factorization of 1803 in exponential form is:
1803 = 31×6011
Prime Factorization of 1808
2 | 1808 |
2 | 904 |
2 | 452 |
2 | 226 |
113 | 113 |
1 |
Prime factors of 1808 are 2,113. Prime factorization of 1808 in exponential form is:
1808 = 24×1131
∴ So by taking common prime factors GCF of 1803 and 1808 is 1
Factors of 1803
List of positive integer factors of 1803 that divides 1803 without a remainder.
1,3,601,1803
Factors of 1808
List of positive integer factors of 1808 that divides 1808 without a remainder.
1,2,4,8,16,113,226,452,904,1808
Greatest Common Factor
We found the factors and prime factorization of 1803 and 1808. The biggest common factor number is the GCF number.
So the greatest common factor 1803 and 1808 is 1.
Also check out the Least Common Multiple of 1803 and 1808
(i) The GCF of 1803 and 1808 is associative
GCF of 1803 and 1808 = GCF of 1808 and 1803
1. What is the GCF of 1803 and 1808?
Answer: GCF of 1803 and 1808 is 1.
2. What are the Factors of 1803?
Answer: Factors of 1803 are 1, 3, 601, 1803. There are 4 integers that are factors of 1803. The greatest factor of 1803 is 1803.
3. What are the Factors of 1808?
Answer: Factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808. There are 10 integers that are factors of 1808. The greatest factor of 1808 is 1808.
4. How to Find the GCF of 1803 and 1808?
Answer:
Greatest Common Factor of 1803 and 1808 = 1
Step 1: Find the prime factorization of 1803
1803 = 3 x 601
Step 2: Find the prime factorization of 1808
1808 = 2 x 2 x 2 x 2 x 113
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 1803 and 1808 is 1