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 9975, 9981 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9975 and 9981 is 3.
GCF(9975,9981) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9975
3 | 9975 |
5 | 3325 |
5 | 665 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 9975 are 3,5,7,19. Prime factorization of 9975 in exponential form is:
9975 = 31×52×71×191
Prime Factorization of 9981
3 | 9981 |
3 | 3327 |
1109 | 1109 |
1 |
Prime factors of 9981 are 3,1109. Prime factorization of 9981 in exponential form is:
9981 = 32×11091
∴ So by taking common prime factors GCF of 9975 and 9981 is 3
Factors of 9975
List of positive integer factors of 9975 that divides 9975 without a remainder.
1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975
Factors of 9981
List of positive integer factors of 9981 that divides 9981 without a remainder.
1,3,9,1109,3327,9981
Greatest Common Factor
We found the factors and prime factorization of 9975 and 9981. The biggest common factor number is the GCF number.
So the greatest common factor 9975 and 9981 is 3.
Also check out the Least Common Multiple of 9975 and 9981
(i) The GCF of 9975 and 9981 is associative
GCF of 9975 and 9981 = GCF of 9981 and 9975
1. What is the GCF of 9975 and 9981?
Answer: GCF of 9975 and 9981 is 3.
2. What are the Factors of 9975?
Answer: Factors of 9975 are 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975. There are 24 integers that are factors of 9975. The greatest factor of 9975 is 9975.
3. What are the Factors of 9981?
Answer: Factors of 9981 are 1, 3, 9, 1109, 3327, 9981. There are 6 integers that are factors of 9981. The greatest factor of 9981 is 9981.
4. How to Find the GCF of 9975 and 9981?
Answer:
Greatest Common Factor of 9975 and 9981 = 3
Step 1: Find the prime factorization of 9975
9975 = 3 x 5 x 5 x 7 x 19
Step 2: Find the prime factorization of 9981
9981 = 3 x 3 x 1109
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9975 and 9981 is 3