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 5871, 5879 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5871 and 5879 is 1.
GCF(5871,5879) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5871
3 | 5871 |
19 | 1957 |
103 | 103 |
1 |
Prime factors of 5871 are 3,19,103. Prime factorization of 5871 in exponential form is:
5871 = 31×191×1031
Prime Factorization of 5879
5879 | 5879 |
1 |
Prime factors of 5879 are 5879. Prime factorization of 5879 in exponential form is:
5879 = 58791
∴ So by taking common prime factors GCF of 5871 and 5879 is 1
Factors of 5871
List of positive integer factors of 5871 that divides 5871 without a remainder.
1,3,19,57,103,309,1957,5871
Factors of 5879
List of positive integer factors of 5879 that divides 5879 without a remainder.
1,5879
Greatest Common Factor
We found the factors and prime factorization of 5871 and 5879. The biggest common factor number is the GCF number.
So the greatest common factor 5871 and 5879 is 1.
Also check out the Least Common Multiple of 5871 and 5879
(i) The GCF of 5871 and 5879 is associative
GCF of 5871 and 5879 = GCF of 5879 and 5871
1. What is the GCF of 5871 and 5879?
Answer: GCF of 5871 and 5879 is 1.
2. What are the Factors of 5871?
Answer: Factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871. There are 8 integers that are factors of 5871. The greatest factor of 5871 is 5871.
3. What are the Factors of 5879?
Answer: Factors of 5879 are 1, 5879. There are 2 integers that are factors of 5879. The greatest factor of 5879 is 5879.
4. How to Find the GCF of 5871 and 5879?
Answer:
Greatest Common Factor of 5871 and 5879 = 1
Step 1: Find the prime factorization of 5871
5871 = 3 x 19 x 103
Step 2: Find the prime factorization of 5879
5879 = 5879
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 5871 and 5879 is 1