Greatest Common Factor of 1658 and 1664

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, 1664 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1658 and 1664 is 2.

GCF(1658,1664) = 2

GCF of 1658 and 1664

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

GCF of:
and

Greatest Common Factor of 1658 and 1664

GCF of 1658 and 1664 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 1664


2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 1664 are 2,13. Prime factorization of 1664 in exponential form is:

1664 = 27×131

∴ So by taking common prime factors GCF of 1658 and 1664 is 2

Greatest Common Factor of 1658 and 1664 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 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Greatest Common Factor

We found the factors and prime factorization of 1658 and 1664. The biggest common factor number is the GCF number.
So the greatest common factor 1658 and 1664 is 2.

Also check out the Least Common Multiple of 1658 and 1664

Properties of GCF 1658 and 1664

(i) The GCF of 1658 and 1664 is associative

GCF of 1658 and 1664 = GCF of 1664 and 1658

Related Greatest Common Factor of 1658

Related Greatest Common Factor of 1664

Frequently Asked Questions on GCF of 1658 and 1664

1. What is the GCF of 1658 and 1664?

Answer: GCF of 1658 and 1664 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 1664?

Answer: Factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664. There are 16 integers that are factors of 1664. The greatest factor of 1664 is 1664.

4. How to Find the GCF of 1658 and 1664?

Answer:

Greatest Common Factor of 1658 and 1664 = 2

Step 1: Find the prime factorization of 1658

1658 = 2 x 829

Step 2: Find the prime factorization of 1664

1664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

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 1664 is 2