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 5874, 5879 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5874 and 5879 is 1.
GCF(5874,5879) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5874
2 | 5874 |
3 | 2937 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 5874 are 2,3,11,89. Prime factorization of 5874 in exponential form is:
5874 = 21×31×111×891
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 5874 and 5879 is 1
Factors of 5874
List of positive integer factors of 5874 that divides 5874 without a remainder.
1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874
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 5874 and 5879. The biggest common factor number is the GCF number.
So the greatest common factor 5874 and 5879 is 1.
Also check out the Least Common Multiple of 5874 and 5879
(i) The GCF of 5874 and 5879 is associative
GCF of 5874 and 5879 = GCF of 5879 and 5874
1. What is the GCF of 5874 and 5879?
Answer: GCF of 5874 and 5879 is 1.
2. What are the Factors of 5874?
Answer: Factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874. There are 16 integers that are factors of 5874. The greatest factor of 5874 is 5874.
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 5874 and 5879?
Answer:
Greatest Common Factor of 5874 and 5879 = 1
Step 1: Find the prime factorization of 5874
5874 = 2 x 3 x 11 x 89
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 5874 and 5879 is 1