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, 1007 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1004 and 1007 is 1.
GCF(1004,1007) = 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 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 1004 and 1007 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 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 1004 and 1007. The biggest common factor number is the GCF number.
So the greatest common factor 1004 and 1007 is 1.
Also check out the Least Common Multiple of 1004 and 1007
(i) The GCF of 1004 and 1007 is associative
GCF of 1004 and 1007 = GCF of 1007 and 1004
1. What is the GCF of 1004 and 1007?
Answer: GCF of 1004 and 1007 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 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 1004 and 1007?
Answer:
Greatest Common Factor of 1004 and 1007 = 1
Step 1: Find the prime factorization of 1004
1004 = 2 x 2 x 251
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 1004 and 1007 is 1