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 8992, 9000 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8992 and 9000 is 8.
GCF(8992,9000) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8992
2 | 8992 |
2 | 4496 |
2 | 2248 |
2 | 1124 |
2 | 562 |
281 | 281 |
1 |
Prime factors of 8992 are 2,281. Prime factorization of 8992 in exponential form is:
8992 = 25×2811
Prime Factorization of 9000
2 | 9000 |
2 | 4500 |
2 | 2250 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 9000 are 2,3,5. Prime factorization of 9000 in exponential form is:
9000 = 23×32×53
∴ So by taking common prime factors GCF of 8992 and 9000 is 8
Factors of 8992
List of positive integer factors of 8992 that divides 8992 without a remainder.
1,2,4,8,16,32,281,562,1124,2248,4496,8992
Factors of 9000
List of positive integer factors of 9000 that divides 9000 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000
Greatest Common Factor
We found the factors and prime factorization of 8992 and 9000. The biggest common factor number is the GCF number.
So the greatest common factor 8992 and 9000 is 8.
Also check out the Least Common Multiple of 8992 and 9000
(i) The GCF of 8992 and 9000 is associative
GCF of 8992 and 9000 = GCF of 9000 and 8992
1. What is the GCF of 8992 and 9000?
Answer: GCF of 8992 and 9000 is 8.
2. What are the Factors of 8992?
Answer: Factors of 8992 are 1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496, 8992. There are 12 integers that are factors of 8992. The greatest factor of 8992 is 8992.
3. What are the Factors of 9000?
Answer: Factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000. There are 48 integers that are factors of 9000. The greatest factor of 9000 is 9000.
4. How to Find the GCF of 8992 and 9000?
Answer:
Greatest Common Factor of 8992 and 9000 = 8
Step 1: Find the prime factorization of 8992
8992 = 2 x 2 x 2 x 2 x 2 x 281
Step 2: Find the prime factorization of 9000
9000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 8992 and 9000 is 8