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 3858, 3862 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3858 and 3862 is 2.
GCF(3858,3862) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3858
2 | 3858 |
3 | 1929 |
643 | 643 |
1 |
Prime factors of 3858 are 2,3,643. Prime factorization of 3858 in exponential form is:
3858 = 21×31×6431
Prime Factorization of 3862
2 | 3862 |
1931 | 1931 |
1 |
Prime factors of 3862 are 2,1931. Prime factorization of 3862 in exponential form is:
3862 = 21×19311
∴ So by taking common prime factors GCF of 3858 and 3862 is 2
Factors of 3858
List of positive integer factors of 3858 that divides 3858 without a remainder.
1,2,3,6,643,1286,1929,3858
Factors of 3862
List of positive integer factors of 3862 that divides 3862 without a remainder.
1,2,1931,3862
Greatest Common Factor
We found the factors and prime factorization of 3858 and 3862. The biggest common factor number is the GCF number.
So the greatest common factor 3858 and 3862 is 2.
Also check out the Least Common Multiple of 3858 and 3862
(i) The GCF of 3858 and 3862 is associative
GCF of 3858 and 3862 = GCF of 3862 and 3858
1. What is the GCF of 3858 and 3862?
Answer: GCF of 3858 and 3862 is 2.
2. What are the Factors of 3858?
Answer: Factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858. There are 8 integers that are factors of 3858. The greatest factor of 3858 is 3858.
3. What are the Factors of 3862?
Answer: Factors of 3862 are 1, 2, 1931, 3862. There are 4 integers that are factors of 3862. The greatest factor of 3862 is 3862.
4. How to Find the GCF of 3858 and 3862?
Answer:
Greatest Common Factor of 3858 and 3862 = 2
Step 1: Find the prime factorization of 3858
3858 = 2 x 3 x 643
Step 2: Find the prime factorization of 3862
3862 = 2 x 1931
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3858 and 3862 is 2