Greatest Common Factor of 33168 and 33172

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, 33172 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33168 and 33172 is 4.

GCF(33168,33172) = 4

GCF of 33168 and 33172

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

GCF of:
and

Greatest Common Factor of 33168 and 33172

GCF of 33168 and 33172 is 4

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 33172


2 33172
2 16586
8293 8293
1

Prime factors of 33172 are 2,8293. Prime factorization of 33172 in exponential form is:

33172 = 22×82931

∴ So by taking common prime factors GCF of 33168 and 33172 is 4

Greatest Common Factor of 33168 and 33172 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 33172

List of positive integer factors of 33172 that divides 33172 without a remainder.

1,2,4,8293,16586,33172

Greatest Common Factor

We found the factors and prime factorization of 33168 and 33172. The biggest common factor number is the GCF number.
So the greatest common factor 33168 and 33172 is 4.

Also check out the Least Common Multiple of 33168 and 33172

Properties of GCF 33168 and 33172

(i) The GCF of 33168 and 33172 is associative

GCF of 33168 and 33172 = GCF of 33172 and 33168

Related Greatest Common Factor of 33168

Related Greatest Common Factor of 33172

Frequently Asked Questions on GCF of 33168 and 33172

1. What is the GCF of 33168 and 33172?

Answer: GCF of 33168 and 33172 is 4.

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 33172?

Answer: Factors of 33172 are 1, 2, 4, 8293, 16586, 33172. There are 6 integers that are factors of 33172. The greatest factor of 33172 is 33172.

4. How to Find the GCF of 33168 and 33172?

Answer:

Greatest Common Factor of 33168 and 33172 = 4

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 33172

33172 = 2 x 2 x 8293

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 33168 and 33172 is 4