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 32000, 32001 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 32000 and 32001 is 1.
GCF(32000,32001) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 32000
2 | 32000 |
2 | 16000 |
2 | 8000 |
2 | 4000 |
2 | 2000 |
2 | 1000 |
2 | 500 |
2 | 250 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 32000 are 2,5. Prime factorization of 32000 in exponential form is:
32000 = 28×53
Prime Factorization of 32001
3 | 32001 |
10667 | 10667 |
1 |
Prime factors of 32001 are 3,10667. Prime factorization of 32001 in exponential form is:
32001 = 31×106671
∴ So by taking common prime factors GCF of 32000 and 32001 is 1
Factors of 32000
List of positive integer factors of 32000 that divides 32000 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,128,160,200,250,256,320,400,500,640,800,1000,1280,1600,2000,3200,4000,6400,8000,16000,32000
Factors of 32001
List of positive integer factors of 32001 that divides 32001 without a remainder.
1,3,10667,32001
Greatest Common Factor
We found the factors and prime factorization of 32000 and 32001. The biggest common factor number is the GCF number.
So the greatest common factor 32000 and 32001 is 1.
Also check out the Least Common Multiple of 32000 and 32001
(i) The GCF of 32000 and 32001 is associative
GCF of 32000 and 32001 = GCF of 32001 and 32000
1. What is the GCF of 32000 and 32001?
Answer: GCF of 32000 and 32001 is 1.
2. What are the Factors of 32000?
Answer: Factors of 32000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 640, 800, 1000, 1280, 1600, 2000, 3200, 4000, 6400, 8000, 16000, 32000. There are 36 integers that are factors of 32000. The greatest factor of 32000 is 32000.
3. What are the Factors of 32001?
Answer: Factors of 32001 are 1, 3, 10667, 32001. There are 4 integers that are factors of 32001. The greatest factor of 32001 is 32001.
4. How to Find the GCF of 32000 and 32001?
Answer:
Greatest Common Factor of 32000 and 32001 = 1
Step 1: Find the prime factorization of 32000
32000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5
Step 2: Find the prime factorization of 32001
32001 = 3 x 10667
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 32000 and 32001 is 1