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 3860, 3864 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3860 and 3864 is 4.
GCF(3860,3864) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3860
2 | 3860 |
2 | 1930 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 3860 are 2,5,193. Prime factorization of 3860 in exponential form is:
3860 = 22×51×1931
Prime Factorization of 3864
2 | 3864 |
2 | 1932 |
2 | 966 |
3 | 483 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 3864 are 2,3,7,23. Prime factorization of 3864 in exponential form is:
3864 = 23×31×71×231
∴ So by taking common prime factors GCF of 3860 and 3864 is 4
Factors of 3860
List of positive integer factors of 3860 that divides 3860 without a remainder.
1,2,4,5,10,20,193,386,772,965,1930,3860
Factors of 3864
List of positive integer factors of 3864 that divides 3864 without a remainder.
1,2,3,4,6,7,8,12,14,21,23,24,28,42,46,56,69,84,92,138,161,168,184,276,322,483,552,644,966,1288,1932,3864
Greatest Common Factor
We found the factors and prime factorization of 3860 and 3864. The biggest common factor number is the GCF number.
So the greatest common factor 3860 and 3864 is 4.
Also check out the Least Common Multiple of 3860 and 3864
(i) The GCF of 3860 and 3864 is associative
GCF of 3860 and 3864 = GCF of 3864 and 3860
1. What is the GCF of 3860 and 3864?
Answer: GCF of 3860 and 3864 is 4.
2. What are the Factors of 3860?
Answer: Factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860. There are 12 integers that are factors of 3860. The greatest factor of 3860 is 3860.
3. What are the Factors of 3864?
Answer: Factors of 3864 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864. There are 32 integers that are factors of 3864. The greatest factor of 3864 is 3864.
4. How to Find the GCF of 3860 and 3864?
Answer:
Greatest Common Factor of 3860 and 3864 = 4
Step 1: Find the prime factorization of 3860
3860 = 2 x 2 x 5 x 193
Step 2: Find the prime factorization of 3864
3864 = 2 x 2 x 2 x 3 x 7 x 23
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 3860 and 3864 is 4