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 3832, 3840 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3832 and 3840 is 8.
GCF(3832,3840) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3832
2 | 3832 |
2 | 1916 |
2 | 958 |
479 | 479 |
1 |
Prime factors of 3832 are 2,479. Prime factorization of 3832 in exponential form is:
3832 = 23×4791
Prime Factorization of 3840
2 | 3840 |
2 | 1920 |
2 | 960 |
2 | 480 |
2 | 240 |
2 | 120 |
2 | 60 |
2 | 30 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 3840 are 2,3,5. Prime factorization of 3840 in exponential form is:
3840 = 28×31×51
∴ So by taking common prime factors GCF of 3832 and 3840 is 8
Factors of 3832
List of positive integer factors of 3832 that divides 3832 without a remainder.
1,2,4,8,479,958,1916,3832
Factors of 3840
List of positive integer factors of 3840 that divides 3840 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Greatest Common Factor
We found the factors and prime factorization of 3832 and 3840. The biggest common factor number is the GCF number.
So the greatest common factor 3832 and 3840 is 8.
Also check out the Least Common Multiple of 3832 and 3840
(i) The GCF of 3832 and 3840 is associative
GCF of 3832 and 3840 = GCF of 3840 and 3832
1. What is the GCF of 3832 and 3840?
Answer: GCF of 3832 and 3840 is 8.
2. What are the Factors of 3832?
Answer: Factors of 3832 are 1, 2, 4, 8, 479, 958, 1916, 3832. There are 8 integers that are factors of 3832. The greatest factor of 3832 is 3832.
3. What are the Factors of 3840?
Answer: Factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840. There are 36 integers that are factors of 3840. The greatest factor of 3840 is 3840.
4. How to Find the GCF of 3832 and 3840?
Answer:
Greatest Common Factor of 3832 and 3840 = 8
Step 1: Find the prime factorization of 3832
3832 = 2 x 2 x 2 x 479
Step 2: Find the prime factorization of 3840
3840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 3832 and 3840 is 8