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 5885, 5887 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5885 and 5887 is 1.
GCF(5885,5887) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5885
5 | 5885 |
11 | 1177 |
107 | 107 |
1 |
Prime factors of 5885 are 5,11,107. Prime factorization of 5885 in exponential form is:
5885 = 51×111×1071
Prime Factorization of 5887
7 | 5887 |
29 | 841 |
29 | 29 |
1 |
Prime factors of 5887 are 7,29. Prime factorization of 5887 in exponential form is:
5887 = 71×292
∴ So by taking common prime factors GCF of 5885 and 5887 is 1
Factors of 5885
List of positive integer factors of 5885 that divides 5885 without a remainder.
1,5,11,55,107,535,1177,5885
Factors of 5887
List of positive integer factors of 5887 that divides 5887 without a remainder.
1,7,29,203,841,5887
Greatest Common Factor
We found the factors and prime factorization of 5885 and 5887. The biggest common factor number is the GCF number.
So the greatest common factor 5885 and 5887 is 1.
Also check out the Least Common Multiple of 5885 and 5887
(i) The GCF of 5885 and 5887 is associative
GCF of 5885 and 5887 = GCF of 5887 and 5885
1. What is the GCF of 5885 and 5887?
Answer: GCF of 5885 and 5887 is 1.
2. What are the Factors of 5885?
Answer: Factors of 5885 are 1, 5, 11, 55, 107, 535, 1177, 5885. There are 8 integers that are factors of 5885. The greatest factor of 5885 is 5885.
3. What are the Factors of 5887?
Answer: Factors of 5887 are 1, 7, 29, 203, 841, 5887. There are 6 integers that are factors of 5887. The greatest factor of 5887 is 5887.
4. How to Find the GCF of 5885 and 5887?
Answer:
Greatest Common Factor of 5885 and 5887 = 1
Step 1: Find the prime factorization of 5885
5885 = 5 x 11 x 107
Step 2: Find the prime factorization of 5887
5887 = 7 x 29 x 29
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 5885 and 5887 is 1