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 3892, 3900 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3892 and 3900 is 4.
GCF(3892,3900) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3892
2 | 3892 |
2 | 1946 |
7 | 973 |
139 | 139 |
1 |
Prime factors of 3892 are 2,7,139. Prime factorization of 3892 in exponential form is:
3892 = 22×71×1391
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
∴ So by taking common prime factors GCF of 3892 and 3900 is 4
Factors of 3892
List of positive integer factors of 3892 that divides 3892 without a remainder.
1,2,4,7,14,28,139,278,556,973,1946,3892
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
Greatest Common Factor
We found the factors and prime factorization of 3892 and 3900. The biggest common factor number is the GCF number.
So the greatest common factor 3892 and 3900 is 4.
Also check out the Least Common Multiple of 3892 and 3900
(i) The GCF of 3892 and 3900 is associative
GCF of 3892 and 3900 = GCF of 3900 and 3892
1. What is the GCF of 3892 and 3900?
Answer: GCF of 3892 and 3900 is 4.
2. What are the Factors of 3892?
Answer: Factors of 3892 are 1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892. There are 12 integers that are factors of 3892. The greatest factor of 3892 is 3892.
3. 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.
4. How to Find the GCF of 3892 and 3900?
Answer:
Greatest Common Factor of 3892 and 3900 = 4
Step 1: Find the prime factorization of 3892
3892 = 2 x 2 x 7 x 139
Step 2: Find the prime factorization of 3900
3900 = 2 x 2 x 3 x 5 x 5 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 3892 and 3900 is 4