Greatest Common Factor of 1659 and 1665

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 1659, 1665 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1659 and 1665 is 3.

GCF(1659,1665) = 3

GCF of 1659 and 1665

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1659 and 1665

GCF of 1659 and 1665 is 3

Prime Factorization of 1659


3 1659
7 553
79 79
1

Prime factors of 1659 are 3,7,79. Prime factorization of 1659 in exponential form is:

1659 = 31×71×791

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 1659 and 1665 is 3

Greatest Common Factor of 1659 and 1665 by matching factors method

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1,3,7,21,79,237,553,1659

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 1659 and 1665. The biggest common factor number is the GCF number.
So the greatest common factor 1659 and 1665 is 3.

Also check out the Least Common Multiple of 1659 and 1665

Properties of GCF 1659 and 1665

(i) The GCF of 1659 and 1665 is associative

GCF of 1659 and 1665 = GCF of 1665 and 1659

Related Greatest Common Factor of 1659

Related Greatest Common Factor of 1665

Frequently Asked Questions on GCF of 1659 and 1665

1. What is the GCF of 1659 and 1665?

Answer: GCF of 1659 and 1665 is 3.

2. What are the Factors of 1659?

Answer: Factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659. There are 8 integers that are factors of 1659. The greatest factor of 1659 is 1659.

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 1659 and 1665?

Answer:

Greatest Common Factor of 1659 and 1665 = 3

Step 1: Find the prime factorization of 1659

1659 = 3 x 7 x 79

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 = 3

Step 4: Therefore, the greatest common factor of 1659 and 1665 is 3