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, 661 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 660 and 661 is 1.
GCF(660,661) = 1
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 661
661 | 661 |
1 |
Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:
661 = 6611
∴ So by taking common prime factors GCF of 660 and 661 is 1
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 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors and prime factorization of 660 and 661. The biggest common factor number is the GCF number.
So the greatest common factor 660 and 661 is 1.
Also check out the Least Common Multiple of 660 and 661
(i) The GCF of 660 and 661 is associative
GCF of 660 and 661 = GCF of 661 and 660
1. What is the GCF of 660 and 661?
Answer: GCF of 660 and 661 is 1.
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 661?
Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.
4. How to Find the GCF of 660 and 661?
Answer:
Greatest Common Factor of 660 and 661 = 1
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 661
661 = 661
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 660 and 661 is 1