Greatest Common Factor of 33168 and 33174

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, 33174 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33168 and 33174 is 6.

GCF(33168,33174) = 6

GCF of 33168 and 33174

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

GCF of:
and

Greatest Common Factor of 33168 and 33174

GCF of 33168 and 33174 is 6

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 33174


2 33174
3 16587
3 5529
19 1843
97 97
1

Prime factors of 33174 are 2,3,19,97. Prime factorization of 33174 in exponential form is:

33174 = 21×32×191×971

∴ So by taking common prime factors GCF of 33168 and 33174 is 6

Greatest Common Factor of 33168 and 33174 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 33174

List of positive integer factors of 33174 that divides 33174 without a remainder.

1,2,3,6,9,18,19,38,57,97,114,171,194,291,342,582,873,1746,1843,3686,5529,11058,16587,33174

Greatest Common Factor

We found the factors and prime factorization of 33168 and 33174. The biggest common factor number is the GCF number.
So the greatest common factor 33168 and 33174 is 6.

Also check out the Least Common Multiple of 33168 and 33174

Properties of GCF 33168 and 33174

(i) The GCF of 33168 and 33174 is associative

GCF of 33168 and 33174 = GCF of 33174 and 33168

Related Greatest Common Factor of 33168

Related Greatest Common Factor of 33174

Frequently Asked Questions on GCF of 33168 and 33174

1. What is the GCF of 33168 and 33174?

Answer: GCF of 33168 and 33174 is 6.

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 33174?

Answer: Factors of 33174 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 97, 114, 171, 194, 291, 342, 582, 873, 1746, 1843, 3686, 5529, 11058, 16587, 33174. There are 24 integers that are factors of 33174. The greatest factor of 33174 is 33174.

4. How to Find the GCF of 33168 and 33174?

Answer:

Greatest Common Factor of 33168 and 33174 = 6

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 33174

33174 = 2 x 3 x 3 x 19 x 97

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 33168 and 33174 is 6