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 3879, 3887 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3879 and 3887 is 1.
GCF(3879,3887) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3879
3 | 3879 |
3 | 1293 |
431 | 431 |
1 |
Prime factors of 3879 are 3,431. Prime factorization of 3879 in exponential form is:
3879 = 32×4311
Prime Factorization of 3887
13 | 3887 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 3887 are 13,23. Prime factorization of 3887 in exponential form is:
3887 = 132×231
∴ So by taking common prime factors GCF of 3879 and 3887 is 1
Factors of 3879
List of positive integer factors of 3879 that divides 3879 without a remainder.
1,3,9,431,1293,3879
Factors of 3887
List of positive integer factors of 3887 that divides 3887 without a remainder.
1,13,23,169,299,3887
Greatest Common Factor
We found the factors and prime factorization of 3879 and 3887. The biggest common factor number is the GCF number.
So the greatest common factor 3879 and 3887 is 1.
Also check out the Least Common Multiple of 3879 and 3887
(i) The GCF of 3879 and 3887 is associative
GCF of 3879 and 3887 = GCF of 3887 and 3879
1. What is the GCF of 3879 and 3887?
Answer: GCF of 3879 and 3887 is 1.
2. What are the Factors of 3879?
Answer: Factors of 3879 are 1, 3, 9, 431, 1293, 3879. There are 6 integers that are factors of 3879. The greatest factor of 3879 is 3879.
3. What are the Factors of 3887?
Answer: Factors of 3887 are 1, 13, 23, 169, 299, 3887. There are 6 integers that are factors of 3887. The greatest factor of 3887 is 3887.
4. How to Find the GCF of 3879 and 3887?
Answer:
Greatest Common Factor of 3879 and 3887 = 1
Step 1: Find the prime factorization of 3879
3879 = 3 x 3 x 431
Step 2: Find the prime factorization of 3887
3887 = 13 x 13 x 23
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 3879 and 3887 is 1