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 3900, 3903 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3900 and 3903 is 3.
GCF(3900,3903) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3900
2 | 3900 |
2 | 1950 |
3 | 975 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 3900 are 2,3,5,13. Prime factorization of 3900 in exponential form is:
3900 = 22×31×52×131
Prime Factorization of 3903
3 | 3903 |
1301 | 1301 |
1 |
Prime factors of 3903 are 3,1301. Prime factorization of 3903 in exponential form is:
3903 = 31×13011
∴ So by taking common prime factors GCF of 3900 and 3903 is 3
Factors of 3900
List of positive integer factors of 3900 that divides 3900 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900
Factors of 3903
List of positive integer factors of 3903 that divides 3903 without a remainder.
1,3,1301,3903
Greatest Common Factor
We found the factors and prime factorization of 3900 and 3903. The biggest common factor number is the GCF number.
So the greatest common factor 3900 and 3903 is 3.
Also check out the Least Common Multiple of 3900 and 3903
(i) The GCF of 3900 and 3903 is associative
GCF of 3900 and 3903 = GCF of 3903 and 3900
1. What is the GCF of 3900 and 3903?
Answer: GCF of 3900 and 3903 is 3.
2. What are the Factors of 3900?
Answer: Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. There are 36 integers that are factors of 3900. The greatest factor of 3900 is 3900.
3. What are the Factors of 3903?
Answer: Factors of 3903 are 1, 3, 1301, 3903. There are 4 integers that are factors of 3903. The greatest factor of 3903 is 3903.
4. How to Find the GCF of 3900 and 3903?
Answer:
Greatest Common Factor of 3900 and 3903 = 3
Step 1: Find the prime factorization of 3900
3900 = 2 x 2 x 3 x 5 x 5 x 13
Step 2: Find the prime factorization of 3903
3903 = 3 x 1301
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3900 and 3903 is 3