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 660, 663 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 660 and 663 is 3.
GCF(660,663) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 660
2 | 660 |
2 | 330 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 660 are 2,3,5,11. Prime factorization of 660 in exponential form is:
660 = 22×31×51×111
Prime Factorization of 663
3 | 663 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 663 are 3,13,17. Prime factorization of 663 in exponential form is:
663 = 31×131×171
∴ So by taking common prime factors GCF of 660 and 663 is 3
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors and prime factorization of 660 and 663. The biggest common factor number is the GCF number.
So the greatest common factor 660 and 663 is 3.
Also check out the Least Common Multiple of 660 and 663
(i) The GCF of 660 and 663 is associative
GCF of 660 and 663 = GCF of 663 and 660
1. What is the GCF of 660 and 663?
Answer: GCF of 660 and 663 is 3.
2. What are the Factors of 660?
Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.
3. What are the Factors of 663?
Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.
4. How to Find the GCF of 660 and 663?
Answer:
Greatest Common Factor of 660 and 663 = 3
Step 1: Find the prime factorization of 660
660 = 2 x 2 x 3 x 5 x 11
Step 2: Find the prime factorization of 663
663 = 3 x 13 x 17
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 660 and 663 is 3