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 1004, 1009 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1004 and 1009 is 1.
GCF(1004,1009) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1004
2 | 1004 |
2 | 502 |
251 | 251 |
1 |
Prime factors of 1004 are 2,251. Prime factorization of 1004 in exponential form is:
1004 = 22×2511
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 1004 and 1009 is 1
Factors of 1004
List of positive integer factors of 1004 that divides 1004 without a remainder.
1,2,4,251,502,1004
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 1004 and 1009. The biggest common factor number is the GCF number.
So the greatest common factor 1004 and 1009 is 1.
Also check out the Least Common Multiple of 1004 and 1009
(i) The GCF of 1004 and 1009 is associative
GCF of 1004 and 1009 = GCF of 1009 and 1004
1. What is the GCF of 1004 and 1009?
Answer: GCF of 1004 and 1009 is 1.
2. What are the Factors of 1004?
Answer: Factors of 1004 are 1, 2, 4, 251, 502, 1004. There are 6 integers that are factors of 1004. The greatest factor of 1004 is 1004.
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 1004 and 1009?
Answer:
Greatest Common Factor of 1004 and 1009 = 1
Step 1: Find the prime factorization of 1004
1004 = 2 x 2 x 251
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 1004 and 1009 is 1