Greatest Common Factor of 1001 and 1003

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 1001, 1003 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1001 and 1003 is 1.

GCF(1001,1003) = 1

GCF of 1001 and 1003

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

GCF of:
and

Greatest Common Factor of 1001 and 1003

GCF of 1001 and 1003 is 1

Prime Factorization of 1001


7 1001
11 143
13 13
1

Prime factors of 1001 are 7,11,13. Prime factorization of 1001 in exponential form is:

1001 = 71×111×131

Prime Factorization of 1003


17 1003
59 59
1

Prime factors of 1003 are 17,59. Prime factorization of 1003 in exponential form is:

1003 = 171×591

∴ So by taking common prime factors GCF of 1001 and 1003 is 1

Greatest Common Factor of 1001 and 1003 by matching factors method

Factors of 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1,7,11,13,77,91,143,1001

Factors of 1003

List of positive integer factors of 1003 that divides 1003 without a remainder.

1,17,59,1003

Greatest Common Factor

We found the factors and prime factorization of 1001 and 1003. The biggest common factor number is the GCF number.
So the greatest common factor 1001 and 1003 is 1.

Also check out the Least Common Multiple of 1001 and 1003

Properties of GCF 1001 and 1003

(i) The GCF of 1001 and 1003 is associative

GCF of 1001 and 1003 = GCF of 1003 and 1001

Related Greatest Common Factor of 1001

Related Greatest Common Factor of 1003

Frequently Asked Questions on GCF of 1001 and 1003

1. What is the GCF of 1001 and 1003?

Answer: GCF of 1001 and 1003 is 1.

2. What are the Factors of 1001?

Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.

3. What are the Factors of 1003?

Answer: Factors of 1003 are 1, 17, 59, 1003. There are 4 integers that are factors of 1003. The greatest factor of 1003 is 1003.

4. How to Find the GCF of 1001 and 1003?

Answer:

Greatest Common Factor of 1001 and 1003 = 1

Step 1: Find the prime factorization of 1001

1001 = 7 x 11 x 13

Step 2: Find the prime factorization of 1003

1003 = 17 x 59

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 1001 and 1003 is 1