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 8994, 8998 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8994 and 8998 is 2.
GCF(8994,8998) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8994
2 | 8994 |
3 | 4497 |
1499 | 1499 |
1 |
Prime factors of 8994 are 2,3,1499. Prime factorization of 8994 in exponential form is:
8994 = 21×31×14991
Prime Factorization of 8998
2 | 8998 |
11 | 4499 |
409 | 409 |
1 |
Prime factors of 8998 are 2,11,409. Prime factorization of 8998 in exponential form is:
8998 = 21×111×4091
∴ So by taking common prime factors GCF of 8994 and 8998 is 2
Factors of 8994
List of positive integer factors of 8994 that divides 8994 without a remainder.
1,2,3,6,1499,2998,4497,8994
Factors of 8998
List of positive integer factors of 8998 that divides 8998 without a remainder.
1,2,11,22,409,818,4499,8998
Greatest Common Factor
We found the factors and prime factorization of 8994 and 8998. The biggest common factor number is the GCF number.
So the greatest common factor 8994 and 8998 is 2.
Also check out the Least Common Multiple of 8994 and 8998
(i) The GCF of 8994 and 8998 is associative
GCF of 8994 and 8998 = GCF of 8998 and 8994
1. What is the GCF of 8994 and 8998?
Answer: GCF of 8994 and 8998 is 2.
2. What are the Factors of 8994?
Answer: Factors of 8994 are 1, 2, 3, 6, 1499, 2998, 4497, 8994. There are 8 integers that are factors of 8994. The greatest factor of 8994 is 8994.
3. What are the Factors of 8998?
Answer: Factors of 8998 are 1, 2, 11, 22, 409, 818, 4499, 8998. There are 8 integers that are factors of 8998. The greatest factor of 8998 is 8998.
4. How to Find the GCF of 8994 and 8998?
Answer:
Greatest Common Factor of 8994 and 8998 = 2
Step 1: Find the prime factorization of 8994
8994 = 2 x 3 x 1499
Step 2: Find the prime factorization of 8998
8998 = 2 x 11 x 409
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 8994 and 8998 is 2