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 3800, 3803 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3800 and 3803 is 1.
GCF(3800,3803) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3800
2 | 3800 |
2 | 1900 |
2 | 950 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 3800 are 2,5,19. Prime factorization of 3800 in exponential form is:
3800 = 23×52×191
Prime Factorization of 3803
3803 | 3803 |
1 |
Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:
3803 = 38031
∴ So by taking common prime factors GCF of 3800 and 3803 is 1
Factors of 3800
List of positive integer factors of 3800 that divides 3800 without a remainder.
1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800
Factors of 3803
List of positive integer factors of 3803 that divides 3803 without a remainder.
1,3803
Greatest Common Factor
We found the factors and prime factorization of 3800 and 3803. The biggest common factor number is the GCF number.
So the greatest common factor 3800 and 3803 is 1.
Also check out the Least Common Multiple of 3800 and 3803
(i) The GCF of 3800 and 3803 is associative
GCF of 3800 and 3803 = GCF of 3803 and 3800
1. What is the GCF of 3800 and 3803?
Answer: GCF of 3800 and 3803 is 1.
2. What are the Factors of 3800?
Answer: Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. There are 24 integers that are factors of 3800. The greatest factor of 3800 is 3800.
3. What are the Factors of 3803?
Answer: Factors of 3803 are 1, 3803. There are 2 integers that are factors of 3803. The greatest factor of 3803 is 3803.
4. How to Find the GCF of 3800 and 3803?
Answer:
Greatest Common Factor of 3800 and 3803 = 1
Step 1: Find the prime factorization of 3800
3800 = 2 x 2 x 2 x 5 x 5 x 19
Step 2: Find the prime factorization of 3803
3803 = 3803
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 3800 and 3803 is 1