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 9871, 9875 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9871 and 9875 is 1.
GCF(9871,9875) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9871
9871 | 9871 |
1 |
Prime factors of 9871 are 9871. Prime factorization of 9871 in exponential form is:
9871 = 98711
Prime Factorization of 9875
5 | 9875 |
5 | 1975 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 9875 are 5.Prime factorization of 9875 in exponential form is:
9875 = 53×791
∴ So by taking common prime factors GCF of 9871 and 9875 is 1
Factors of 9871
List of positive integer factors of 9871 that divides 9871 without a remainder.
1,9871
Factors of 9875
List of positive integer factors of 9875 that divides 9875 without a remainder.
1,5,25,79,125,395,1975,9875
Greatest Common Factor
We found the factors and prime factorization of 9871 and 9875. The biggest common factor number is the GCF number.
So the greatest common factor 9871 and 9875 is 1.
Also check out the Least Common Multiple of 9871 and 9875
(i) The GCF of 9871 and 9875 is associative
GCF of 9871 and 9875 = GCF of 9875 and 9871
1. What is the GCF of 9871 and 9875?
Answer: GCF of 9871 and 9875 is 1.
2. What are the Factors of 9871?
Answer: Factors of 9871 are 1, 9871. There are 2 integers that are factors of 9871. The greatest factor of 9871 is 9871.
3. What are the Factors of 9875?
Answer: Factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875. There are 8 integers that are factors of 9875. The greatest factor of 9875 is 9875.
4. How to Find the GCF of 9871 and 9875?
Answer:
Greatest Common Factor of 9871 and 9875 = 1
Step 1: Find the prime factorization of 9871
9871 = 9871
Step 2: Find the prime factorization of 9875
9875 = 5 x 5 x 5 x 79
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 9871 and 9875 is 1