Greatest Common Factor of 1005 and 1009

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 1005, 1009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1005 and 1009 is 1.

GCF(1005,1009) = 1

GCF of 1005 and 1009

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

GCF of:
and

Greatest Common Factor of 1005 and 1009

GCF of 1005 and 1009 is 1

Prime Factorization of 1005


3 1005
5 335
67 67
1

Prime factors of 1005 are 3,5,67. Prime factorization of 1005 in exponential form is:

1005 = 31×51×671

Prime Factorization of 1009


1009 1009
1

Prime factors of 1009 are 1009. Prime factorization of 1009 in exponential form is:

1009 = 10091

∴ So by taking common prime factors GCF of 1005 and 1009 is 1

Greatest Common Factor of 1005 and 1009 by matching factors method

Factors of 1005

List of positive integer factors of 1005 that divides 1005 without a remainder.

1,3,5,15,67,201,335,1005

Factors of 1009

List of positive integer factors of 1009 that divides 1009 without a remainder.

1,1009

Greatest Common Factor

We found the factors and prime factorization of 1005 and 1009. The biggest common factor number is the GCF number.
So the greatest common factor 1005 and 1009 is 1.

Also check out the Least Common Multiple of 1005 and 1009

Properties of GCF 1005 and 1009

(i) The GCF of 1005 and 1009 is associative

GCF of 1005 and 1009 = GCF of 1009 and 1005

Related Greatest Common Factor of 1005

Related Greatest Common Factor of 1009

Frequently Asked Questions on GCF of 1005 and 1009

1. What is the GCF of 1005 and 1009?

Answer: GCF of 1005 and 1009 is 1.

2. What are the Factors of 1005?

Answer: Factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. There are 8 integers that are factors of 1005. The greatest factor of 1005 is 1005.

3. What are the Factors of 1009?

Answer: Factors of 1009 are 1, 1009. There are 2 integers that are factors of 1009. The greatest factor of 1009 is 1009.

4. How to Find the GCF of 1005 and 1009?

Answer:

Greatest Common Factor of 1005 and 1009 = 1

Step 1: Find the prime factorization of 1005

1005 = 3 x 5 x 67

Step 2: Find the prime factorization of 1009

1009 = 1009

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 1005 and 1009 is 1