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 999, 1007 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 999 and 1007 is 1.
GCF(999,1007) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 999
3 | 999 |
3 | 333 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 999 are 3,37. Prime factorization of 999 in exponential form is:
999 = 33×371
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 999 and 1007 is 1
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
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 999 and 1007. The biggest common factor number is the GCF number.
So the greatest common factor 999 and 1007 is 1.
Also check out the Least Common Multiple of 999 and 1007
(i) The GCF of 999 and 1007 is associative
GCF of 999 and 1007 = GCF of 1007 and 999
1. What is the GCF of 999 and 1007?
Answer: GCF of 999 and 1007 is 1.
2. What are the Factors of 999?
Answer: Factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. There are 8 integers that are factors of 999. The greatest factor of 999 is 999.
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 999 and 1007?
Answer:
Greatest Common Factor of 999 and 1007 = 1
Step 1: Find the prime factorization of 999
999 = 3 x 3 x 3 x 37
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 999 and 1007 is 1