Greatest Common Factor of 32000 and 32001

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

GCF of 32000 and 32001

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 32000 and 32001

GCF of 32000 and 32001 is 1

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

Greatest Common Factor of 32000 and 32001 by matching factors method

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

Properties of GCF 32000 and 32001

(i) The GCF of 32000 and 32001 is associative

GCF of 32000 and 32001 = GCF of 32001 and 32000

Frequently Asked Questions on GCF of 32000 and 32001

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