Greatest Common Factor of 1005 and 1007

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, 1007 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1005 and 1007 is 1.

GCF(1005,1007) = 1

GCF of 1005 and 1007

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

GCF of:
and

Greatest Common Factor of 1005 and 1007

GCF of 1005 and 1007 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 1007


19 1007
53 53
1

Prime factors of 1007 are 19,53. Prime factorization of 1007 in exponential form is:

1007 = 191×531

∴ So by taking common prime factors GCF of 1005 and 1007 is 1

Greatest Common Factor of 1005 and 1007 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 1007

List of positive integer factors of 1007 that divides 1007 without a remainder.

1,19,53,1007

Greatest Common Factor

We found the factors and prime factorization of 1005 and 1007. The biggest common factor number is the GCF number.
So the greatest common factor 1005 and 1007 is 1.

Also check out the Least Common Multiple of 1005 and 1007

Properties of GCF 1005 and 1007

(i) The GCF of 1005 and 1007 is associative

GCF of 1005 and 1007 = GCF of 1007 and 1005

Related Greatest Common Factor of 1005

Related Greatest Common Factor of 1007

Frequently Asked Questions on GCF of 1005 and 1007

1. What is the GCF of 1005 and 1007?

Answer: GCF of 1005 and 1007 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 1007?

Answer: Factors of 1007 are 1, 19, 53, 1007. There are 4 integers that are factors of 1007. The greatest factor of 1007 is 1007.

4. How to Find the GCF of 1005 and 1007?

Answer:

Greatest Common Factor of 1005 and 1007 = 1

Step 1: Find the prime factorization of 1005

1005 = 3 x 5 x 67

Step 2: Find the prime factorization of 1007

1007 = 19 x 53

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 1007 is 1