Greatest Common Factor of 8002 and 8009

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 8002, 8009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8002 and 8009 is 1.

GCF(8002,8009) = 1

GCF of 8002 and 8009

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

GCF of:
and

Greatest Common Factor of 8002 and 8009

GCF of 8002 and 8009 is 1

Prime Factorization of 8002


2 8002
4001 4001
1

Prime factors of 8002 are 2,4001. Prime factorization of 8002 in exponential form is:

8002 = 21×40011

Prime Factorization of 8009


8009 8009
1

Prime factors of 8009 are 8009. Prime factorization of 8009 in exponential form is:

8009 = 80091

∴ So by taking common prime factors GCF of 8002 and 8009 is 1

Greatest Common Factor of 8002 and 8009 by matching factors method

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1,2,4001,8002

Factors of 8009

List of positive integer factors of 8009 that divides 8009 without a remainder.

1,8009

Greatest Common Factor

We found the factors and prime factorization of 8002 and 8009. The biggest common factor number is the GCF number.
So the greatest common factor 8002 and 8009 is 1.

Also check out the Least Common Multiple of 8002 and 8009

Properties of GCF 8002 and 8009

(i) The GCF of 8002 and 8009 is associative

GCF of 8002 and 8009 = GCF of 8009 and 8002

Related Greatest Common Factor of 8002

Related Greatest Common Factor of 8009

Frequently Asked Questions on GCF of 8002 and 8009

1. What is the GCF of 8002 and 8009?

Answer: GCF of 8002 and 8009 is 1.

2. What are the Factors of 8002?

Answer: Factors of 8002 are 1, 2, 4001, 8002. There are 4 integers that are factors of 8002. The greatest factor of 8002 is 8002.

3. What are the Factors of 8009?

Answer: Factors of 8009 are 1, 8009. There are 2 integers that are factors of 8009. The greatest factor of 8009 is 8009.

4. How to Find the GCF of 8002 and 8009?

Answer:

Greatest Common Factor of 8002 and 8009 = 1

Step 1: Find the prime factorization of 8002

8002 = 2 x 4001

Step 2: Find the prime factorization of 8009

8009 = 8009

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 8002 and 8009 is 1