Greatest Common Factor of 33160 and 33164

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, 33164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33160 and 33164 is 4.

GCF(33160,33164) = 4

GCF of 33160 and 33164

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

GCF of:
and

Greatest Common Factor of 33160 and 33164

GCF of 33160 and 33164 is 4

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 33164


2 33164
2 16582
8291 8291
1

Prime factors of 33164 are 2,8291. Prime factorization of 33164 in exponential form is:

33164 = 22×82911

∴ So by taking common prime factors GCF of 33160 and 33164 is 4

Greatest Common Factor of 33160 and 33164 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 33164

List of positive integer factors of 33164 that divides 33164 without a remainder.

1,2,4,8291,16582,33164

Greatest Common Factor

We found the factors and prime factorization of 33160 and 33164. The biggest common factor number is the GCF number.
So the greatest common factor 33160 and 33164 is 4.

Also check out the Least Common Multiple of 33160 and 33164

Properties of GCF 33160 and 33164

(i) The GCF of 33160 and 33164 is associative

GCF of 33160 and 33164 = GCF of 33164 and 33160

Related Greatest Common Factor of 33160

Related Greatest Common Factor of 33164

Frequently Asked Questions on GCF of 33160 and 33164

1. What is the GCF of 33160 and 33164?

Answer: GCF of 33160 and 33164 is 4.

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 33164?

Answer: Factors of 33164 are 1, 2, 4, 8291, 16582, 33164. There are 6 integers that are factors of 33164. The greatest factor of 33164 is 33164.

4. How to Find the GCF of 33160 and 33164?

Answer:

Greatest Common Factor of 33160 and 33164 = 4

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 33164

33164 = 2 x 2 x 8291

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 33160 and 33164 is 4