Greatest Common Factor of 33165 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 33165, 33172 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33165 and 33172 is 1.

GCF(33165,33172) = 1

GCF of 33165 and 33172

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

GCF of:
and

Greatest Common Factor of 33165 and 33172

GCF of 33165 and 33172 is 1

Prime Factorization of 33165


3 33165
3 11055
5 3685
11 737
67 67
1

Prime factors of 33165 are 3,5,11,67. Prime factorization of 33165 in exponential form is:

33165 = 32×51×111×671

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 33165 and 33172 is 1

Greatest Common Factor of 33165 and 33172 by matching factors method

Factors of 33165

List of positive integer factors of 33165 that divides 33165 without a remainder.

1,3,5,9,11,15,33,45,55,67,99,165,201,335,495,603,737,1005,2211,3015,3685,6633,11055,33165

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 33165 and 33172. The biggest common factor number is the GCF number.
So the greatest common factor 33165 and 33172 is 1.

Also check out the Least Common Multiple of 33165 and 33172

Properties of GCF 33165 and 33172

(i) The GCF of 33165 and 33172 is associative

GCF of 33165 and 33172 = GCF of 33172 and 33165

Frequently Asked Questions on GCF of 33165 and 33172

1. What is the GCF of 33165 and 33172?

Answer: GCF of 33165 and 33172 is 1.

2. What are the Factors of 33165?

Answer: Factors of 33165 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 67, 99, 165, 201, 335, 495, 603, 737, 1005, 2211, 3015, 3685, 6633, 11055, 33165. There are 24 integers that are factors of 33165. The greatest factor of 33165 is 33165.

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 33165 and 33172?

Answer:

Greatest Common Factor of 33165 and 33172 = 1

Step 1: Find the prime factorization of 33165

33165 = 3 x 3 x 5 x 11 x 67

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 = = 1

Step 4: Therefore, the greatest common factor of 33165 and 33172 is 1