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 3878, 3879 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3878 and 3879 is 1.
GCF(3878,3879) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3878
2 | 3878 |
7 | 1939 |
277 | 277 |
1 |
Prime factors of 3878 are 2,7,277. Prime factorization of 3878 in exponential form is:
3878 = 21×71×2771
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
∴ So by taking common prime factors GCF of 3878 and 3879 is 1
Factors of 3878
List of positive integer factors of 3878 that divides 3878 without a remainder.
1,2,7,14,277,554,1939,3878
Factors of 3879
List of positive integer factors of 3879 that divides 3879 without a remainder.
1,3,9,431,1293,3879
Greatest Common Factor
We found the factors and prime factorization of 3878 and 3879. The biggest common factor number is the GCF number.
So the greatest common factor 3878 and 3879 is 1.
Also check out the Least Common Multiple of 3878 and 3879
(i) The GCF of 3878 and 3879 is associative
GCF of 3878 and 3879 = GCF of 3879 and 3878
1. What is the GCF of 3878 and 3879?
Answer: GCF of 3878 and 3879 is 1.
2. What are the Factors of 3878?
Answer: Factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878. There are 8 integers that are factors of 3878. The greatest factor of 3878 is 3878.
3. 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.
4. How to Find the GCF of 3878 and 3879?
Answer:
Greatest Common Factor of 3878 and 3879 = 1
Step 1: Find the prime factorization of 3878
3878 = 2 x 7 x 277
Step 2: Find the prime factorization of 3879
3879 = 3 x 3 x 431
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 3878 and 3879 is 1