Greatest Common Factor 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

Prime Factorization of 1003

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

1003 = 17¹×59¹

Prime Factorization of 1009

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

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

(i) The GCF of 1003 and 1009 is associative

GCF of 1003 and 1009 = GCF of 1009 and 1003

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