Greatest Common Factor of 33164 and 33165

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 33164, 33165 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33164 and 33165 is 1.

GCF(33164,33165) = 1

GCF of 33164 and 33165

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

GCF of:
and

Greatest Common Factor of 33164 and 33165

GCF of 33164 and 33165 is 1

Prime Factorization of 33164


2 33164
2 16582
8291 8291
1

Prime factors of 33164 are 2,8291. Prime factorization of 33164 in exponential form is:

33164 = 22×82911

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

∴ So by taking common prime factors GCF of 33164 and 33165 is 1

Greatest Common Factor of 33164 and 33165 by matching factors method

Factors of 33164

List of positive integer factors of 33164 that divides 33164 without a remainder.

1,2,4,8291,16582,33164

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

Greatest Common Factor

We found the factors and prime factorization of 33164 and 33165. The biggest common factor number is the GCF number.
So the greatest common factor 33164 and 33165 is 1.

Also check out the Least Common Multiple of 33164 and 33165

Properties of GCF 33164 and 33165

(i) The GCF of 33164 and 33165 is associative

GCF of 33164 and 33165 = GCF of 33165 and 33164

Related Greatest Common Factor of 33164

Related Greatest Common Factor of 33165

Frequently Asked Questions on GCF of 33164 and 33165

1. What is the GCF of 33164 and 33165?

Answer: GCF of 33164 and 33165 is 1.

2. What are the Factors of 33164?

Answer: Factors of 33164 are 1, 2, 4, 8291, 16582, 33164. There are 6 integers that are factors of 33164. The greatest factor of 33164 is 33164.

3. 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.

4. How to Find the GCF of 33164 and 33165?

Answer:

Greatest Common Factor of 33164 and 33165 = 1

Step 1: Find the prime factorization of 33164

33164 = 2 x 2 x 8291

Step 2: Find the prime factorization of 33165

33165 = 3 x 3 x 5 x 11 x 67

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 33164 and 33165 is 1