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 9989, 9990 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9989 and 9990 is 1.
GCF(9989,9990) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9989
7 | 9989 |
1427 | 1427 |
1 |
Prime factors of 9989 are 7,1427. Prime factorization of 9989 in exponential form is:
9989 = 71×14271
Prime Factorization of 9990
2 | 9990 |
3 | 4995 |
3 | 1665 |
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 9990 are 2,3,5,37. Prime factorization of 9990 in exponential form is:
9990 = 21×33×51×371
∴ So by taking common prime factors GCF of 9989 and 9990 is 1
Factors of 9989
List of positive integer factors of 9989 that divides 9989 without a remainder.
1,7,1427,9989
Factors of 9990
List of positive integer factors of 9990 that divides 9990 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,37,45,54,74,90,111,135,185,222,270,333,370,555,666,999,1110,1665,1998,3330,4995,9990
Greatest Common Factor
We found the factors and prime factorization of 9989 and 9990. The biggest common factor number is the GCF number.
So the greatest common factor 9989 and 9990 is 1.
Also check out the Least Common Multiple of 9989 and 9990
(i) The GCF of 9989 and 9990 is associative
GCF of 9989 and 9990 = GCF of 9990 and 9989
1. What is the GCF of 9989 and 9990?
Answer: GCF of 9989 and 9990 is 1.
2. What are the Factors of 9989?
Answer: Factors of 9989 are 1, 7, 1427, 9989. There are 4 integers that are factors of 9989. The greatest factor of 9989 is 9989.
3. What are the Factors of 9990?
Answer: Factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990. There are 32 integers that are factors of 9990. The greatest factor of 9990 is 9990.
4. How to Find the GCF of 9989 and 9990?
Answer:
Greatest Common Factor of 9989 and 9990 = 1
Step 1: Find the prime factorization of 9989
9989 = 7 x 1427
Step 2: Find the prime factorization of 9990
9990 = 2 x 3 x 3 x 3 x 5 x 37
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 9989 and 9990 is 1