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 2994, 3002 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2994 and 3002 is 2.
GCF(2994,3002) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2994
2 | 2994 |
3 | 1497 |
499 | 499 |
1 |
Prime factors of 2994 are 2,3,499. Prime factorization of 2994 in exponential form is:
2994 = 21×31×4991
Prime Factorization of 3002
2 | 3002 |
19 | 1501 |
79 | 79 |
1 |
Prime factors of 3002 are 2,19,79. Prime factorization of 3002 in exponential form is:
3002 = 21×191×791
∴ So by taking common prime factors GCF of 2994 and 3002 is 2
Factors of 2994
List of positive integer factors of 2994 that divides 2994 without a remainder.
1,2,3,6,499,998,1497,2994
Factors of 3002
List of positive integer factors of 3002 that divides 3002 without a remainder.
1,2,19,38,79,158,1501,3002
Greatest Common Factor
We found the factors and prime factorization of 2994 and 3002. The biggest common factor number is the GCF number.
So the greatest common factor 2994 and 3002 is 2.
Also check out the Least Common Multiple of 2994 and 3002
(i) The GCF of 2994 and 3002 is associative
GCF of 2994 and 3002 = GCF of 3002 and 2994
1. What is the GCF of 2994 and 3002?
Answer: GCF of 2994 and 3002 is 2.
2. What are the Factors of 2994?
Answer: Factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994. There are 8 integers that are factors of 2994. The greatest factor of 2994 is 2994.
3. What are the Factors of 3002?
Answer: Factors of 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002. There are 8 integers that are factors of 3002. The greatest factor of 3002 is 3002.
4. How to Find the GCF of 2994 and 3002?
Answer:
Greatest Common Factor of 2994 and 3002 = 2
Step 1: Find the prime factorization of 2994
2994 = 2 x 3 x 499
Step 2: Find the prime factorization of 3002
3002 = 2 x 19 x 79
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 2994 and 3002 is 2