Greatest Common Factor of 1659 and 1666

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, 1666 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1659 and 1666 is 7.

GCF(1659,1666) = 7

GCF of 1659 and 1666

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

GCF of:
and

Greatest Common Factor of 1659 and 1666

GCF of 1659 and 1666 is 7

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 1666


2 1666
7 833
7 119
17 17
1

Prime factors of 1666 are 2,7,17. Prime factorization of 1666 in exponential form is:

1666 = 21×72×171

∴ So by taking common prime factors GCF of 1659 and 1666 is 7

Greatest Common Factor of 1659 and 1666 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 1666

List of positive integer factors of 1666 that divides 1666 without a remainder.

1,2,7,14,17,34,49,98,119,238,833,1666

Greatest Common Factor

We found the factors and prime factorization of 1659 and 1666. The biggest common factor number is the GCF number.
So the greatest common factor 1659 and 1666 is 7.

Also check out the Least Common Multiple of 1659 and 1666

Properties of GCF 1659 and 1666

(i) The GCF of 1659 and 1666 is associative

GCF of 1659 and 1666 = GCF of 1666 and 1659

Related Greatest Common Factor of 1659

Related Greatest Common Factor of 1666

Frequently Asked Questions on GCF of 1659 and 1666

1. What is the GCF of 1659 and 1666?

Answer: GCF of 1659 and 1666 is 7.

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 1666?

Answer: Factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666. There are 12 integers that are factors of 1666. The greatest factor of 1666 is 1666.

4. How to Find the GCF of 1659 and 1666?

Answer:

Greatest Common Factor of 1659 and 1666 = 7

Step 1: Find the prime factorization of 1659

1659 = 3 x 7 x 79

Step 2: Find the prime factorization of 1666

1666 = 2 x 7 x 7 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 1659 and 1666 is 7