Greatest Common Factor of 33184 and 33188

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 33184, 33188 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33184 and 33188 is 4.

GCF(33184,33188) = 4

GCF of 33184 and 33188

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

GCF of:
and

Greatest Common Factor of 33184 and 33188

GCF of 33184 and 33188 is 4

Prime Factorization of 33184


2 33184
2 16592
2 8296
2 4148
2 2074
17 1037
61 61
1

Prime factors of 33184 are 2,17,61. Prime factorization of 33184 in exponential form is:

33184 = 25×171×611

Prime Factorization of 33188


2 33188
2 16594
8297 8297
1

Prime factors of 33188 are 2,8297. Prime factorization of 33188 in exponential form is:

33188 = 22×82971

∴ So by taking common prime factors GCF of 33184 and 33188 is 4

Greatest Common Factor of 33184 and 33188 by matching factors method

Factors of 33184

List of positive integer factors of 33184 that divides 33184 without a remainder.

1,2,4,8,16,17,32,34,61,68,122,136,244,272,488,544,976,1037,1952,2074,4148,8296,16592,33184

Factors of 33188

List of positive integer factors of 33188 that divides 33188 without a remainder.

1,2,4,8297,16594,33188

Greatest Common Factor

We found the factors and prime factorization of 33184 and 33188. The biggest common factor number is the GCF number.
So the greatest common factor 33184 and 33188 is 4.

Also check out the Least Common Multiple of 33184 and 33188

Properties of GCF 33184 and 33188

(i) The GCF of 33184 and 33188 is associative

GCF of 33184 and 33188 = GCF of 33188 and 33184

Related Greatest Common Factor of 33184

Related Greatest Common Factor of 33188

Frequently Asked Questions on GCF of 33184 and 33188

1. What is the GCF of 33184 and 33188?

Answer: GCF of 33184 and 33188 is 4.

2. What are the Factors of 33184?

Answer: Factors of 33184 are 1, 2, 4, 8, 16, 17, 32, 34, 61, 68, 122, 136, 244, 272, 488, 544, 976, 1037, 1952, 2074, 4148, 8296, 16592, 33184. There are 24 integers that are factors of 33184. The greatest factor of 33184 is 33184.

3. What are the Factors of 33188?

Answer: Factors of 33188 are 1, 2, 4, 8297, 16594, 33188. There are 6 integers that are factors of 33188. The greatest factor of 33188 is 33188.

4. How to Find the GCF of 33184 and 33188?

Answer:

Greatest Common Factor of 33184 and 33188 = 4

Step 1: Find the prime factorization of 33184

33184 = 2 x 2 x 2 x 2 x 2 x 17 x 61

Step 2: Find the prime factorization of 33188

33188 = 2 x 2 x 8297

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 33184 and 33188 is 4