Greatest Common Factor of 8001 and 8005

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 8001, 8005 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8001 and 8005 is 1.

GCF(8001,8005) = 1

GCF of 8001 and 8005

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

GCF of:
and

Greatest Common Factor of 8001 and 8005

GCF of 8001 and 8005 is 1

Prime Factorization of 8001


3 8001
3 2667
7 889
127 127
1

Prime factors of 8001 are 3,7,127. Prime factorization of 8001 in exponential form is:

8001 = 32×71×1271

Prime Factorization of 8005


5 8005
1601 1601
1

Prime factors of 8005 are 5,1601. Prime factorization of 8005 in exponential form is:

8005 = 51×16011

∴ So by taking common prime factors GCF of 8001 and 8005 is 1

Greatest Common Factor of 8001 and 8005 by matching factors method

Factors of 8001

List of positive integer factors of 8001 that divides 8001 without a remainder.

1,3,7,9,21,63,127,381,889,1143,2667,8001

Factors of 8005

List of positive integer factors of 8005 that divides 8005 without a remainder.

1,5,1601,8005

Greatest Common Factor

We found the factors and prime factorization of 8001 and 8005. The biggest common factor number is the GCF number.
So the greatest common factor 8001 and 8005 is 1.

Also check out the Least Common Multiple of 8001 and 8005

Properties of GCF 8001 and 8005

(i) The GCF of 8001 and 8005 is associative

GCF of 8001 and 8005 = GCF of 8005 and 8001

Related Greatest Common Factor of 8001

Related Greatest Common Factor of 8005

Frequently Asked Questions on GCF of 8001 and 8005

1. What is the GCF of 8001 and 8005?

Answer: GCF of 8001 and 8005 is 1.

2. What are the Factors of 8001?

Answer: Factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001. There are 12 integers that are factors of 8001. The greatest factor of 8001 is 8001.

3. What are the Factors of 8005?

Answer: Factors of 8005 are 1, 5, 1601, 8005. There are 4 integers that are factors of 8005. The greatest factor of 8005 is 8005.

4. How to Find the GCF of 8001 and 8005?

Answer:

Greatest Common Factor of 8001 and 8005 = 1

Step 1: Find the prime factorization of 8001

8001 = 3 x 3 x 7 x 127

Step 2: Find the prime factorization of 8005

8005 = 5 x 1601

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 8001 and 8005 is 1