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 1660, 1665 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1660 and 1665 is 5.
GCF(1660,1665) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1660
2 | 1660 |
2 | 830 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 1660 are 2,5,83. Prime factorization of 1660 in exponential form is:
1660 = 22×51×831
Prime Factorization of 1665
3 | 1665 |
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 1665 are 3,5,37. Prime factorization of 1665 in exponential form is:
1665 = 32×51×371
∴ So by taking common prime factors GCF of 1660 and 1665 is 5
Factors of 1660
List of positive integer factors of 1660 that divides 1660 without a remainder.
1,2,4,5,10,20,83,166,332,415,830,1660
Factors of 1665
List of positive integer factors of 1665 that divides 1665 without a remainder.
1,3,5,9,15,37,45,111,185,333,555,1665
Greatest Common Factor
We found the factors and prime factorization of 1660 and 1665. The biggest common factor number is the GCF number.
So the greatest common factor 1660 and 1665 is 5.
Also check out the Least Common Multiple of 1660 and 1665
(i) The GCF of 1660 and 1665 is associative
GCF of 1660 and 1665 = GCF of 1665 and 1660
1. What is the GCF of 1660 and 1665?
Answer: GCF of 1660 and 1665 is 5.
2. What are the Factors of 1660?
Answer: Factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660. There are 12 integers that are factors of 1660. The greatest factor of 1660 is 1660.
3. What are the Factors of 1665?
Answer: Factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665. There are 12 integers that are factors of 1665. The greatest factor of 1665 is 1665.
4. How to Find the GCF of 1660 and 1665?
Answer:
Greatest Common Factor of 1660 and 1665 = 5
Step 1: Find the prime factorization of 1660
1660 = 2 x 2 x 5 x 83
Step 2: Find the prime factorization of 1665
1665 = 3 x 3 x 5 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 1660 and 1665 is 5