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 998, 1006 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 998 and 1006 is 2.
GCF(998,1006) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 998
2 | 998 |
499 | 499 |
1 |
Prime factors of 998 are 2,499. Prime factorization of 998 in exponential form is:
998 = 21×4991
Prime Factorization of 1006
2 | 1006 |
503 | 503 |
1 |
Prime factors of 1006 are 2,503. Prime factorization of 1006 in exponential form is:
1006 = 21×5031
∴ So by taking common prime factors GCF of 998 and 1006 is 2
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 1006
List of positive integer factors of 1006 that divides 1006 without a remainder.
1,2,503,1006
Greatest Common Factor
We found the factors and prime factorization of 998 and 1006. The biggest common factor number is the GCF number.
So the greatest common factor 998 and 1006 is 2.
Also check out the Least Common Multiple of 998 and 1006
(i) The GCF of 998 and 1006 is associative
GCF of 998 and 1006 = GCF of 1006 and 998
1. What is the GCF of 998 and 1006?
Answer: GCF of 998 and 1006 is 2.
2. What are the Factors of 998?
Answer: Factors of 998 are 1, 2, 499, 998. There are 4 integers that are factors of 998. The greatest factor of 998 is 998.
3. What are the Factors of 1006?
Answer: Factors of 1006 are 1, 2, 503, 1006. There are 4 integers that are factors of 1006. The greatest factor of 1006 is 1006.
4. How to Find the GCF of 998 and 1006?
Answer:
Greatest Common Factor of 998 and 1006 = 2
Step 1: Find the prime factorization of 998
998 = 2 x 499
Step 2: Find the prime factorization of 1006
1006 = 2 x 503
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 998 and 1006 is 2