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 6633, 6639 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6633 and 6639 is 3.
GCF(6633,6639) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6633
3 | 6633 |
3 | 2211 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 6633 are 3,11,67. Prime factorization of 6633 in exponential form is:
6633 = 32×111×671
Prime Factorization of 6639
3 | 6639 |
2213 | 2213 |
1 |
Prime factors of 6639 are 3,2213. Prime factorization of 6639 in exponential form is:
6639 = 31×22131
∴ So by taking common prime factors GCF of 6633 and 6639 is 3
Factors of 6633
List of positive integer factors of 6633 that divides 6633 without a remainder.
1,3,9,11,33,67,99,201,603,737,2211,6633
Factors of 6639
List of positive integer factors of 6639 that divides 6639 without a remainder.
1,3,2213,6639
Greatest Common Factor
We found the factors and prime factorization of 6633 and 6639. The biggest common factor number is the GCF number.
So the greatest common factor 6633 and 6639 is 3.
Also check out the Least Common Multiple of 6633 and 6639
(i) The GCF of 6633 and 6639 is associative
GCF of 6633 and 6639 = GCF of 6639 and 6633
1. What is the GCF of 6633 and 6639?
Answer: GCF of 6633 and 6639 is 3.
2. What are the Factors of 6633?
Answer: Factors of 6633 are 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633. There are 12 integers that are factors of 6633. The greatest factor of 6633 is 6633.
3. What are the Factors of 6639?
Answer: Factors of 6639 are 1, 3, 2213, 6639. There are 4 integers that are factors of 6639. The greatest factor of 6639 is 6639.
4. How to Find the GCF of 6633 and 6639?
Answer:
Greatest Common Factor of 6633 and 6639 = 3
Step 1: Find the prime factorization of 6633
6633 = 3 x 3 x 11 x 67
Step 2: Find the prime factorization of 6639
6639 = 3 x 2213
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 6633 and 6639 is 3