Greatest Common Factor of 33209 and 33216

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 33209, 33216 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33209 and 33216 is 1.

GCF(33209,33216) = 1

GCF of 33209 and 33216

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

GCF of:
and

Greatest Common Factor of 33209 and 33216

GCF of 33209 and 33216 is 1

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

Prime Factorization of 33216


2 33216
2 16608
2 8304
2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 33216 are 2,3,173. Prime factorization of 33216 in exponential form is:

33216 = 26×31×1731

∴ So by taking common prime factors GCF of 33209 and 33216 is 1

Greatest Common Factor of 33209 and 33216 by matching factors method

Factors of 33209

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

1,11,3019,33209

Factors of 33216

List of positive integer factors of 33216 that divides 33216 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,173,192,346,519,692,1038,1384,2076,2768,4152,5536,8304,11072,16608,33216

Greatest Common Factor

We found the factors and prime factorization of 33209 and 33216. The biggest common factor number is the GCF number.
So the greatest common factor 33209 and 33216 is 1.

Also check out the Least Common Multiple of 33209 and 33216

Properties of GCF 33209 and 33216

(i) The GCF of 33209 and 33216 is associative

GCF of 33209 and 33216 = GCF of 33216 and 33209

Related Greatest Common Factor of 33209

Related Greatest Common Factor of 33216

Frequently Asked Questions on GCF of 33209 and 33216

1. What is the GCF of 33209 and 33216?

Answer: GCF of 33209 and 33216 is 1.

2. 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.

3. What are the Factors of 33216?

Answer: Factors of 33216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 173, 192, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608, 33216. There are 28 integers that are factors of 33216. The greatest factor of 33216 is 33216.

4. How to Find the GCF of 33209 and 33216?

Answer:

Greatest Common Factor of 33209 and 33216 = 1

Step 1: Find the prime factorization of 33209

33209 = 11 x 3019

Step 2: Find the prime factorization of 33216

33216 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 173

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 33209 and 33216 is 1