Greatest Common Factor of 3327 and 3333

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 3327, 3333 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3327 and 3333 is 3.

GCF(3327,3333) = 3

GCF of 3327 and 3333

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

GCF of:
and

Greatest Common Factor of 3327 and 3333

GCF of 3327 and 3333 is 3

Prime Factorization of 3327


3 3327
1109 1109
1

Prime factors of 3327 are 3,1109. Prime factorization of 3327 in exponential form is:

3327 = 31×11091

Prime Factorization of 3333


3 3333
11 1111
101 101
1

Prime factors of 3333 are 3,11,101. Prime factorization of 3333 in exponential form is:

3333 = 31×111×1011

∴ So by taking common prime factors GCF of 3327 and 3333 is 3

Greatest Common Factor of 3327 and 3333 by matching factors method

Factors of 3327

List of positive integer factors of 3327 that divides 3327 without a remainder.

1,3,1109,3327

Factors of 3333

List of positive integer factors of 3333 that divides 3333 without a remainder.

1,3,11,33,101,303,1111,3333

Greatest Common Factor

We found the factors and prime factorization of 3327 and 3333. The biggest common factor number is the GCF number.
So the greatest common factor 3327 and 3333 is 3.

Also check out the Least Common Multiple of 3327 and 3333

Properties of GCF 3327 and 3333

(i) The GCF of 3327 and 3333 is associative

GCF of 3327 and 3333 = GCF of 3333 and 3327

Related Greatest Common Factor of 3327

Related Greatest Common Factor of 3333

Frequently Asked Questions on GCF of 3327 and 3333

1. What is the GCF of 3327 and 3333?

Answer: GCF of 3327 and 3333 is 3.

2. What are the Factors of 3327?

Answer: Factors of 3327 are 1, 3, 1109, 3327. There are 4 integers that are factors of 3327. The greatest factor of 3327 is 3327.

3. What are the Factors of 3333?

Answer: Factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333. There are 8 integers that are factors of 3333. The greatest factor of 3333 is 3333.

4. How to Find the GCF of 3327 and 3333?

Answer:

Greatest Common Factor of 3327 and 3333 = 3

Step 1: Find the prime factorization of 3327

3327 = 3 x 1109

Step 2: Find the prime factorization of 3333

3333 = 3 x 11 x 101

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3327 and 3333 is 3