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 994, 1000 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 994 and 1000 is 2.
GCF(994,1000) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 994
2 | 994 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 994 are 2,7,71. Prime factorization of 994 in exponential form is:
994 = 21×71×711
Prime Factorization of 1000
2 | 1000 |
2 | 500 |
2 | 250 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 1000 are 2,5. Prime factorization of 1000 in exponential form is:
1000 = 23×53
∴ So by taking common prime factors GCF of 994 and 1000 is 2
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 1000
List of positive integer factors of 1000 that divides 1000 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
Greatest Common Factor
We found the factors and prime factorization of 994 and 1000. The biggest common factor number is the GCF number.
So the greatest common factor 994 and 1000 is 2.
Also check out the Least Common Multiple of 994 and 1000
(i) The GCF of 994 and 1000 is associative
GCF of 994 and 1000 = GCF of 1000 and 994
1. What is the GCF of 994 and 1000?
Answer: GCF of 994 and 1000 is 2.
2. What are the Factors of 994?
Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.
3. What are the Factors of 1000?
Answer: Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. There are 16 integers that are factors of 1000. The greatest factor of 1000 is 1000.
4. How to Find the GCF of 994 and 1000?
Answer:
Greatest Common Factor of 994 and 1000 = 2
Step 1: Find the prime factorization of 994
994 = 2 x 7 x 71
Step 2: Find the prime factorization of 1000
1000 = 2 x 2 x 2 x 5 x 5 x 5
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 994 and 1000 is 2