Greatest Common Factor of 1003 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 1003, 1009 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1003 and 1009 is 1.
GCF(1003,1009) = 1
GCF of 1003 and 1009
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 1003 and 1009 by prime factorization method
- Greatest Common Factor of 1003 and 1009 by matching factors method
GCF of 1003 and 1009 is 1
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
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 1003 and 1009 is 1
Greatest Common Factor of 1003 and 1009 by matching factors method
Factors of 1003
List of positive integer factors of 1003 that divides 1003 without a remainder.
1,17,59,1003
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 1003 and 1009. The biggest common factor number is the GCF number.
So the greatest common factor 1003 and 1009 is 1.
Also check out the Least Common Multiple of 1003 and 1009
Properties of GCF 1003 and 1009
(i) The GCF of 1003 and 1009 is associative
GCF of 1003 and 1009 = GCF of 1009 and 1003
Related Greatest Common Factor of 1003
Related Greatest Common Factor of 1009
Frequently Asked Questions on GCF of 1003 and 1009
1. What is the GCF of 1003 and 1009?
Answer: GCF of 1003 and 1009 is 1.
2. 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.
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 1003 and 1009?
Answer:
Greatest Common Factor of 1003 and 1009 = 1
Step 1: Find the prime factorization of 1003
1003 = 17 x 59
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 1003 and 1009 is 1
