Greatest Common Factor of 3305 and 3313

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 3305, 3313 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3305 and 3313 is 1.

GCF(3305,3313) = 1

GCF of 3305 and 3313

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

GCF of:
and

Greatest Common Factor of 3305 and 3313

GCF of 3305 and 3313 is 1

Prime Factorization of 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

Prime Factorization of 3313


3313 3313
1

Prime factors of 3313 are 3313. Prime factorization of 3313 in exponential form is:

3313 = 33131

∴ So by taking common prime factors GCF of 3305 and 3313 is 1

Greatest Common Factor of 3305 and 3313 by matching factors method

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1,5,661,3305

Factors of 3313

List of positive integer factors of 3313 that divides 3313 without a remainder.

1,3313

Greatest Common Factor

We found the factors and prime factorization of 3305 and 3313. The biggest common factor number is the GCF number.
So the greatest common factor 3305 and 3313 is 1.

Also check out the Least Common Multiple of 3305 and 3313

Properties of GCF 3305 and 3313

(i) The GCF of 3305 and 3313 is associative

GCF of 3305 and 3313 = GCF of 3313 and 3305

Related Greatest Common Factor of 3305

Related Greatest Common Factor of 3313

Frequently Asked Questions on GCF of 3305 and 3313

1. What is the GCF of 3305 and 3313?

Answer: GCF of 3305 and 3313 is 1.

2. What are the Factors of 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

3. What are the Factors of 3313?

Answer: Factors of 3313 are 1, 3313. There are 2 integers that are factors of 3313. The greatest factor of 3313 is 3313.

4. How to Find the GCF of 3305 and 3313?

Answer:

Greatest Common Factor of 3305 and 3313 = 1

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3313

3313 = 3313

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 3305 and 3313 is 1