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 3894, 3899 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3894 and 3899 is 1.
GCF(3894,3899) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3894
2 | 3894 |
3 | 1947 |
11 | 649 |
59 | 59 |
1 |
Prime factors of 3894 are 2,3,11,59. Prime factorization of 3894 in exponential form is:
3894 = 21×31×111×591
Prime Factorization of 3899
7 | 3899 |
557 | 557 |
1 |
Prime factors of 3899 are 7,557. Prime factorization of 3899 in exponential form is:
3899 = 71×5571
∴ So by taking common prime factors GCF of 3894 and 3899 is 1
Factors of 3894
List of positive integer factors of 3894 that divides 3894 without a remainder.
1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894
Factors of 3899
List of positive integer factors of 3899 that divides 3899 without a remainder.
1,7,557,3899
Greatest Common Factor
We found the factors and prime factorization of 3894 and 3899. The biggest common factor number is the GCF number.
So the greatest common factor 3894 and 3899 is 1.
Also check out the Least Common Multiple of 3894 and 3899
(i) The GCF of 3894 and 3899 is associative
GCF of 3894 and 3899 = GCF of 3899 and 3894
1. What is the GCF of 3894 and 3899?
Answer: GCF of 3894 and 3899 is 1.
2. What are the Factors of 3894?
Answer: Factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894. There are 16 integers that are factors of 3894. The greatest factor of 3894 is 3894.
3. What are the Factors of 3899?
Answer: Factors of 3899 are 1, 7, 557, 3899. There are 4 integers that are factors of 3899. The greatest factor of 3899 is 3899.
4. How to Find the GCF of 3894 and 3899?
Answer:
Greatest Common Factor of 3894 and 3899 = 1
Step 1: Find the prime factorization of 3894
3894 = 2 x 3 x 11 x 59
Step 2: Find the prime factorization of 3899
3899 = 7 x 557
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3894 and 3899 is 1