Greatest Common Factor of 33316 and 33318

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 33316, 33318 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33316 and 33318 is 2.

GCF(33316,33318) = 2

GCF of 33316 and 33318

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

GCF of:
and

Greatest Common Factor of 33316 and 33318

GCF of 33316 and 33318 is 2

Prime Factorization of 33316


2 33316
2 16658
8329 8329
1

Prime factors of 33316 are 2,8329. Prime factorization of 33316 in exponential form is:

33316 = 22×83291

Prime Factorization of 33318


2 33318
3 16659
3 5553
3 1851
617 617
1

Prime factors of 33318 are 2,3,617. Prime factorization of 33318 in exponential form is:

33318 = 21×33×6171

∴ So by taking common prime factors GCF of 33316 and 33318 is 2

Greatest Common Factor of 33316 and 33318 by matching factors method

Factors of 33316

List of positive integer factors of 33316 that divides 33316 without a remainder.

1,2,4,8329,16658,33316

Factors of 33318

List of positive integer factors of 33318 that divides 33318 without a remainder.

1,2,3,6,9,18,27,54,617,1234,1851,3702,5553,11106,16659,33318

Greatest Common Factor

We found the factors and prime factorization of 33316 and 33318. The biggest common factor number is the GCF number.
So the greatest common factor 33316 and 33318 is 2.

Also check out the Least Common Multiple of 33316 and 33318

Properties of GCF 33316 and 33318

(i) The GCF of 33316 and 33318 is associative

GCF of 33316 and 33318 = GCF of 33318 and 33316

Related Greatest Common Factor of 33316

Related Greatest Common Factor of 33318

Frequently Asked Questions on GCF of 33316 and 33318

1. What is the GCF of 33316 and 33318?

Answer: GCF of 33316 and 33318 is 2.

2. What are the Factors of 33316?

Answer: Factors of 33316 are 1, 2, 4, 8329, 16658, 33316. There are 6 integers that are factors of 33316. The greatest factor of 33316 is 33316.

3. What are the Factors of 33318?

Answer: Factors of 33318 are 1, 2, 3, 6, 9, 18, 27, 54, 617, 1234, 1851, 3702, 5553, 11106, 16659, 33318. There are 16 integers that are factors of 33318. The greatest factor of 33318 is 33318.

4. How to Find the GCF of 33316 and 33318?

Answer:

Greatest Common Factor of 33316 and 33318 = 2

Step 1: Find the prime factorization of 33316

33316 = 2 x 2 x 8329

Step 2: Find the prime factorization of 33318

33318 = 2 x 3 x 3 x 3 x 617

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 33316 and 33318 is 2