Greatest Common Factor of 3305 and 3307

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, 3307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3305 and 3307 is 1.

GCF(3305,3307) = 1

GCF of 3305 and 3307

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

GCF of:
and

Greatest Common Factor of 3305 and 3307

GCF of 3305 and 3307 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 3307


3307 3307
1

Prime factors of 3307 are 3307. Prime factorization of 3307 in exponential form is:

3307 = 33071

∴ So by taking common prime factors GCF of 3305 and 3307 is 1

Greatest Common Factor of 3305 and 3307 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 3307

List of positive integer factors of 3307 that divides 3307 without a remainder.

1,3307

Greatest Common Factor

We found the factors and prime factorization of 3305 and 3307. The biggest common factor number is the GCF number.
So the greatest common factor 3305 and 3307 is 1.

Also check out the Least Common Multiple of 3305 and 3307

Properties of GCF 3305 and 3307

(i) The GCF of 3305 and 3307 is associative

GCF of 3305 and 3307 = GCF of 3307 and 3305

Related Greatest Common Factor of 3305

Related Greatest Common Factor of 3307

Frequently Asked Questions on GCF of 3305 and 3307

1. What is the GCF of 3305 and 3307?

Answer: GCF of 3305 and 3307 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 3307?

Answer: Factors of 3307 are 1, 3307. There are 2 integers that are factors of 3307. The greatest factor of 3307 is 3307.

4. How to Find the GCF of 3305 and 3307?

Answer:

Greatest Common Factor of 3305 and 3307 = 1

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3307

3307 = 3307

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 3307 is 1