Greatest Common Factor of 1658 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 1658, 1666 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1658 and 1666 is 2.

GCF(1658,1666) = 2

GCF of 1658 and 1666

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

GCF of:
and

Greatest Common Factor of 1658 and 1666

GCF of 1658 and 1666 is 2

Prime Factorization of 1658


2 1658
829 829
1

Prime factors of 1658 are 2,829. Prime factorization of 1658 in exponential form is:

1658 = 21×8291

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 1658 and 1666 is 2

Greatest Common Factor of 1658 and 1666 by matching factors method

Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1,2,829,1658

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 1658 and 1666. The biggest common factor number is the GCF number.
So the greatest common factor 1658 and 1666 is 2.

Also check out the Least Common Multiple of 1658 and 1666

Properties of GCF 1658 and 1666

(i) The GCF of 1658 and 1666 is associative

GCF of 1658 and 1666 = GCF of 1666 and 1658

Related Greatest Common Factor of 1658

Related Greatest Common Factor of 1666

Frequently Asked Questions on GCF of 1658 and 1666

1. What is the GCF of 1658 and 1666?

Answer: GCF of 1658 and 1666 is 2.

2. What are the Factors of 1658?

Answer: Factors of 1658 are 1, 2, 829, 1658. There are 4 integers that are factors of 1658. The greatest factor of 1658 is 1658.

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 1658 and 1666?

Answer:

Greatest Common Factor of 1658 and 1666 = 2

Step 1: Find the prime factorization of 1658

1658 = 2 x 829

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 = 2

Step 4: Therefore, the greatest common factor of 1658 and 1666 is 2