Greatest Common Factor of 33160 and 33166

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 33160, 33166 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33160 and 33166 is 2.

GCF(33160,33166) = 2

GCF of 33160 and 33166

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

GCF of:
and

Greatest Common Factor of 33160 and 33166

GCF of 33160 and 33166 is 2

Prime Factorization of 33160


2 33160
2 16580
2 8290
5 4145
829 829
1

Prime factors of 33160 are 2,5,829. Prime factorization of 33160 in exponential form is:

33160 = 23×51×8291

Prime Factorization of 33166


2 33166
7 16583
23 2369
103 103
1

Prime factors of 33166 are 2,7,23,103. Prime factorization of 33166 in exponential form is:

33166 = 21×71×231×1031

∴ So by taking common prime factors GCF of 33160 and 33166 is 2

Greatest Common Factor of 33160 and 33166 by matching factors method

Factors of 33160

List of positive integer factors of 33160 that divides 33160 without a remainder.

1,2,4,5,8,10,20,40,829,1658,3316,4145,6632,8290,16580,33160

Factors of 33166

List of positive integer factors of 33166 that divides 33166 without a remainder.

1,2,7,14,23,46,103,161,206,322,721,1442,2369,4738,16583,33166

Greatest Common Factor

We found the factors and prime factorization of 33160 and 33166. The biggest common factor number is the GCF number.
So the greatest common factor 33160 and 33166 is 2.

Also check out the Least Common Multiple of 33160 and 33166

Properties of GCF 33160 and 33166

(i) The GCF of 33160 and 33166 is associative

GCF of 33160 and 33166 = GCF of 33166 and 33160

Related Greatest Common Factor of 33160

Related Greatest Common Factor of 33166

Frequently Asked Questions on GCF of 33160 and 33166

1. What is the GCF of 33160 and 33166?

Answer: GCF of 33160 and 33166 is 2.

2. What are the Factors of 33160?

Answer: Factors of 33160 are 1, 2, 4, 5, 8, 10, 20, 40, 829, 1658, 3316, 4145, 6632, 8290, 16580, 33160. There are 16 integers that are factors of 33160. The greatest factor of 33160 is 33160.

3. What are the Factors of 33166?

Answer: Factors of 33166 are 1, 2, 7, 14, 23, 46, 103, 161, 206, 322, 721, 1442, 2369, 4738, 16583, 33166. There are 16 integers that are factors of 33166. The greatest factor of 33166 is 33166.

4. How to Find the GCF of 33160 and 33166?

Answer:

Greatest Common Factor of 33160 and 33166 = 2

Step 1: Find the prime factorization of 33160

33160 = 2 x 2 x 2 x 5 x 829

Step 2: Find the prime factorization of 33166

33166 = 2 x 7 x 23 x 103

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 33160 and 33166 is 2