Greatest Common Factor of 33201 and 33209

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 33201, 33209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33201 and 33209 is 1.

GCF(33201,33209) = 1

GCF of 33201 and 33209

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

GCF of:
and

Greatest Common Factor of 33201 and 33209

GCF of 33201 and 33209 is 1

Prime Factorization of 33201


3 33201
3 11067
7 3689
17 527
31 31
1

Prime factors of 33201 are 3,7,17,31. Prime factorization of 33201 in exponential form is:

33201 = 32×71×171×311

Prime Factorization of 33209


11 33209
3019 3019
1

Prime factors of 33209 are 11,3019. Prime factorization of 33209 in exponential form is:

33209 = 111×30191

∴ So by taking common prime factors GCF of 33201 and 33209 is 1

Greatest Common Factor of 33201 and 33209 by matching factors method

Factors of 33201

List of positive integer factors of 33201 that divides 33201 without a remainder.

1,3,7,9,17,21,31,51,63,93,119,153,217,279,357,527,651,1071,1581,1953,3689,4743,11067,33201

Factors of 33209

List of positive integer factors of 33209 that divides 33209 without a remainder.

1,11,3019,33209

Greatest Common Factor

We found the factors and prime factorization of 33201 and 33209. The biggest common factor number is the GCF number.
So the greatest common factor 33201 and 33209 is 1.

Also check out the Least Common Multiple of 33201 and 33209

Properties of GCF 33201 and 33209

(i) The GCF of 33201 and 33209 is associative

GCF of 33201 and 33209 = GCF of 33209 and 33201

Related Greatest Common Factor of 33201

Related Greatest Common Factor of 33209

Frequently Asked Questions on GCF of 33201 and 33209

1. What is the GCF of 33201 and 33209?

Answer: GCF of 33201 and 33209 is 1.

2. What are the Factors of 33201?

Answer: Factors of 33201 are 1, 3, 7, 9, 17, 21, 31, 51, 63, 93, 119, 153, 217, 279, 357, 527, 651, 1071, 1581, 1953, 3689, 4743, 11067, 33201. There are 24 integers that are factors of 33201. The greatest factor of 33201 is 33201.

3. What are the Factors of 33209?

Answer: Factors of 33209 are 1, 11, 3019, 33209. There are 4 integers that are factors of 33209. The greatest factor of 33209 is 33209.

4. How to Find the GCF of 33201 and 33209?

Answer:

Greatest Common Factor of 33201 and 33209 = 1

Step 1: Find the prime factorization of 33201

33201 = 3 x 3 x 7 x 17 x 31

Step 2: Find the prime factorization of 33209

33209 = 11 x 3019

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 33201 and 33209 is 1