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 5875, 5878 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5875 and 5878 is 1.
GCF(5875,5878) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5875
5 | 5875 |
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 5875 are 5,47. Prime factorization of 5875 in exponential form is:
5875 = 53×471
Prime Factorization of 5878
2 | 5878 |
2939 | 2939 |
1 |
Prime factors of 5878 are 2,2939. Prime factorization of 5878 in exponential form is:
5878 = 21×29391
∴ So by taking common prime factors GCF of 5875 and 5878 is 1
Factors of 5875
List of positive integer factors of 5875 that divides 5875 without a remainder.
1,5,25,47,125,235,1175,5875
Factors of 5878
List of positive integer factors of 5878 that divides 5878 without a remainder.
1,2,2939,5878
Greatest Common Factor
We found the factors and prime factorization of 5875 and 5878. The biggest common factor number is the GCF number.
So the greatest common factor 5875 and 5878 is 1.
Also check out the Least Common Multiple of 5875 and 5878
(i) The GCF of 5875 and 5878 is associative
GCF of 5875 and 5878 = GCF of 5878 and 5875
1. What is the GCF of 5875 and 5878?
Answer: GCF of 5875 and 5878 is 1.
2. What are the Factors of 5875?
Answer: Factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875. There are 8 integers that are factors of 5875. The greatest factor of 5875 is 5875.
3. What are the Factors of 5878?
Answer: Factors of 5878 are 1, 2, 2939, 5878. There are 4 integers that are factors of 5878. The greatest factor of 5878 is 5878.
4. How to Find the GCF of 5875 and 5878?
Answer:
Greatest Common Factor of 5875 and 5878 = 1
Step 1: Find the prime factorization of 5875
5875 = 5 x 5 x 5 x 47
Step 2: Find the prime factorization of 5878
5878 = 2 x 2939
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 5875 and 5878 is 1