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 3033, 3039 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3033 and 3039 is 3.
GCF(3033,3039) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3033
3 | 3033 |
3 | 1011 |
337 | 337 |
1 |
Prime factors of 3033 are 3,337. Prime factorization of 3033 in exponential form is:
3033 = 32×3371
Prime Factorization of 3039
3 | 3039 |
1013 | 1013 |
1 |
Prime factors of 3039 are 3,1013. Prime factorization of 3039 in exponential form is:
3039 = 31×10131
∴ So by taking common prime factors GCF of 3033 and 3039 is 3
Factors of 3033
List of positive integer factors of 3033 that divides 3033 without a remainder.
1,3,9,337,1011,3033
Factors of 3039
List of positive integer factors of 3039 that divides 3039 without a remainder.
1,3,1013,3039
Greatest Common Factor
We found the factors and prime factorization of 3033 and 3039. The biggest common factor number is the GCF number.
So the greatest common factor 3033 and 3039 is 3.
Also check out the Least Common Multiple of 3033 and 3039
(i) The GCF of 3033 and 3039 is associative
GCF of 3033 and 3039 = GCF of 3039 and 3033
1. What is the GCF of 3033 and 3039?
Answer: GCF of 3033 and 3039 is 3.
2. What are the Factors of 3033?
Answer: Factors of 3033 are 1, 3, 9, 337, 1011, 3033. There are 6 integers that are factors of 3033. The greatest factor of 3033 is 3033.
3. What are the Factors of 3039?
Answer: Factors of 3039 are 1, 3, 1013, 3039. There are 4 integers that are factors of 3039. The greatest factor of 3039 is 3039.
4. How to Find the GCF of 3033 and 3039?
Answer:
Greatest Common Factor of 3033 and 3039 = 3
Step 1: Find the prime factorization of 3033
3033 = 3 x 3 x 337
Step 2: Find the prime factorization of 3039
3039 = 3 x 1013
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3033 and 3039 is 3