Greatest Common Factor of 33168 and 33171

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 33168, 33171 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33168 and 33171 is 3.

GCF(33168,33171) = 3

GCF of 33168 and 33171

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

GCF of:
and

Greatest Common Factor of 33168 and 33171

GCF of 33168 and 33171 is 3

Prime Factorization of 33168


2 33168
2 16584
2 8292
2 4146
3 2073
691 691
1

Prime factors of 33168 are 2,3,691. Prime factorization of 33168 in exponential form is:

33168 = 24×31×6911

Prime Factorization of 33171


3 33171
11057 11057
1

Prime factors of 33171 are 3,11057. Prime factorization of 33171 in exponential form is:

33171 = 31×110571

∴ So by taking common prime factors GCF of 33168 and 33171 is 3

Greatest Common Factor of 33168 and 33171 by matching factors method

Factors of 33168

List of positive integer factors of 33168 that divides 33168 without a remainder.

1,2,3,4,6,8,12,16,24,48,691,1382,2073,2764,4146,5528,8292,11056,16584,33168

Factors of 33171

List of positive integer factors of 33171 that divides 33171 without a remainder.

1,3,11057,33171

Greatest Common Factor

We found the factors and prime factorization of 33168 and 33171. The biggest common factor number is the GCF number.
So the greatest common factor 33168 and 33171 is 3.

Also check out the Least Common Multiple of 33168 and 33171

Properties of GCF 33168 and 33171

(i) The GCF of 33168 and 33171 is associative

GCF of 33168 and 33171 = GCF of 33171 and 33168

Related Greatest Common Factor of 33168

Related Greatest Common Factor of 33171

Frequently Asked Questions on GCF of 33168 and 33171

1. What is the GCF of 33168 and 33171?

Answer: GCF of 33168 and 33171 is 3.

2. What are the Factors of 33168?

Answer: Factors of 33168 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584, 33168. There are 20 integers that are factors of 33168. The greatest factor of 33168 is 33168.

3. What are the Factors of 33171?

Answer: Factors of 33171 are 1, 3, 11057, 33171. There are 4 integers that are factors of 33171. The greatest factor of 33171 is 33171.

4. How to Find the GCF of 33168 and 33171?

Answer:

Greatest Common Factor of 33168 and 33171 = 3

Step 1: Find the prime factorization of 33168

33168 = 2 x 2 x 2 x 2 x 3 x 691

Step 2: Find the prime factorization of 33171

33171 = 3 x 11057

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

GCF = 3

Step 4: Therefore, the greatest common factor of 33168 and 33171 is 3