Greatest Common Factor of 3303 and 3309

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 3303, 3309 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3303 and 3309 is 3.

GCF(3303,3309) = 3

GCF of 3303 and 3309

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

GCF of:
and

Greatest Common Factor of 3303 and 3309

GCF of 3303 and 3309 is 3

Prime Factorization of 3303


3 3303
3 1101
367 367
1

Prime factors of 3303 are 3,367. Prime factorization of 3303 in exponential form is:

3303 = 32×3671

Prime Factorization of 3309


3 3309
1103 1103
1

Prime factors of 3309 are 3,1103. Prime factorization of 3309 in exponential form is:

3309 = 31×11031

∴ So by taking common prime factors GCF of 3303 and 3309 is 3

Greatest Common Factor of 3303 and 3309 by matching factors method

Factors of 3303

List of positive integer factors of 3303 that divides 3303 without a remainder.

1,3,9,367,1101,3303

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1,3,1103,3309

Greatest Common Factor

We found the factors and prime factorization of 3303 and 3309. The biggest common factor number is the GCF number.
So the greatest common factor 3303 and 3309 is 3.

Also check out the Least Common Multiple of 3303 and 3309

Properties of GCF 3303 and 3309

(i) The GCF of 3303 and 3309 is associative

GCF of 3303 and 3309 = GCF of 3309 and 3303

Related Greatest Common Factor of 3303

Related Greatest Common Factor of 3309

Frequently Asked Questions on GCF of 3303 and 3309

1. What is the GCF of 3303 and 3309?

Answer: GCF of 3303 and 3309 is 3.

2. What are the Factors of 3303?

Answer: Factors of 3303 are 1, 3, 9, 367, 1101, 3303. There are 6 integers that are factors of 3303. The greatest factor of 3303 is 3303.

3. What are the Factors of 3309?

Answer: Factors of 3309 are 1, 3, 1103, 3309. There are 4 integers that are factors of 3309. The greatest factor of 3309 is 3309.

4. How to Find the GCF of 3303 and 3309?

Answer:

Greatest Common Factor of 3303 and 3309 = 3

Step 1: Find the prime factorization of 3303

3303 = 3 x 3 x 367

Step 2: Find the prime factorization of 3309

3309 = 3 x 1103

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 3303 and 3309 is 3