Greatest Common Factor of 8005 and 8007

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 8005, 8007 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8005 and 8007 is 1.

GCF(8005,8007) = 1

GCF of 8005 and 8007

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

GCF of:
and

Greatest Common Factor of 8005 and 8007

GCF of 8005 and 8007 is 1

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

Prime Factorization of 8007


3 8007
17 2669
157 157
1

Prime factors of 8007 are 3,17,157. Prime factorization of 8007 in exponential form is:

8007 = 31×171×1571

∴ So by taking common prime factors GCF of 8005 and 8007 is 1

Greatest Common Factor of 8005 and 8007 by matching factors method

Factors of 8005

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

1,5,1601,8005

Factors of 8007

List of positive integer factors of 8007 that divides 8007 without a remainder.

1,3,17,51,157,471,2669,8007

Greatest Common Factor

We found the factors and prime factorization of 8005 and 8007. The biggest common factor number is the GCF number.
So the greatest common factor 8005 and 8007 is 1.

Also check out the Least Common Multiple of 8005 and 8007

Properties of GCF 8005 and 8007

(i) The GCF of 8005 and 8007 is associative

GCF of 8005 and 8007 = GCF of 8007 and 8005

Related Greatest Common Factor of 8005

Related Greatest Common Factor of 8007

Frequently Asked Questions on GCF of 8005 and 8007

1. What is the GCF of 8005 and 8007?

Answer: GCF of 8005 and 8007 is 1.

2. 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.

3. What are the Factors of 8007?

Answer: Factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007. There are 8 integers that are factors of 8007. The greatest factor of 8007 is 8007.

4. How to Find the GCF of 8005 and 8007?

Answer:

Greatest Common Factor of 8005 and 8007 = 1

Step 1: Find the prime factorization of 8005

8005 = 5 x 1601

Step 2: Find the prime factorization of 8007

8007 = 3 x 17 x 157

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 8005 and 8007 is 1