Greatest Common Factor of 33216 and 33223

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 33216, 33223 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33216 and 33223 is 1.

GCF(33216,33223) = 1

GCF of 33216 and 33223

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

GCF of:
and

Greatest Common Factor of 33216 and 33223

GCF of 33216 and 33223 is 1

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

Prime Factorization of 33223


33223 33223
1

Prime factors of 33223 are 33223. Prime factorization of 33223 in exponential form is:

33223 = 332231

∴ So by taking common prime factors GCF of 33216 and 33223 is 1

Greatest Common Factor of 33216 and 33223 by matching factors method

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

Factors of 33223

List of positive integer factors of 33223 that divides 33223 without a remainder.

1,33223

Greatest Common Factor

We found the factors and prime factorization of 33216 and 33223. The biggest common factor number is the GCF number.
So the greatest common factor 33216 and 33223 is 1.

Also check out the Least Common Multiple of 33216 and 33223

Properties of GCF 33216 and 33223

(i) The GCF of 33216 and 33223 is associative

GCF of 33216 and 33223 = GCF of 33223 and 33216

Frequently Asked Questions on GCF of 33216 and 33223

1. What is the GCF of 33216 and 33223?

Answer: GCF of 33216 and 33223 is 1.

2. 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.

3. What are the Factors of 33223?

Answer: Factors of 33223 are 1, 33223. There are 2 integers that are factors of 33223. The greatest factor of 33223 is 33223.

4. How to Find the GCF of 33216 and 33223?

Answer:

Greatest Common Factor of 33216 and 33223 = 1

Step 1: Find the prime factorization of 33216

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

Step 2: Find the prime factorization of 33223

33223 = 33223

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 33216 and 33223 is 1