Greatest Common Factor of 3301 and 3305

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 3301, 3305 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3301 and 3305 is 1.

GCF(3301,3305) = 1

GCF of 3301 and 3305

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

GCF of:
and

Greatest Common Factor of 3301 and 3305

GCF of 3301 and 3305 is 1

Prime Factorization of 3301


3301 3301
1

Prime factors of 3301 are 3301. Prime factorization of 3301 in exponential form is:

3301 = 33011

Prime Factorization of 3305


5 3305
661 661
1

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

3305 = 51×6611

∴ So by taking common prime factors GCF of 3301 and 3305 is 1

Greatest Common Factor of 3301 and 3305 by matching factors method

Factors of 3301

List of positive integer factors of 3301 that divides 3301 without a remainder.

1,3301

Factors of 3305

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

1,5,661,3305

Greatest Common Factor

We found the factors and prime factorization of 3301 and 3305. The biggest common factor number is the GCF number.
So the greatest common factor 3301 and 3305 is 1.

Also check out the Least Common Multiple of 3301 and 3305

Properties of GCF 3301 and 3305

(i) The GCF of 3301 and 3305 is associative

GCF of 3301 and 3305 = GCF of 3305 and 3301

Related Greatest Common Factor of 3301

Related Greatest Common Factor of 3305

Frequently Asked Questions on GCF of 3301 and 3305

1. What is the GCF of 3301 and 3305?

Answer: GCF of 3301 and 3305 is 1.

2. What are the Factors of 3301?

Answer: Factors of 3301 are 1, 3301. There are 2 integers that are factors of 3301. The greatest factor of 3301 is 3301.

3. 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.

4. How to Find the GCF of 3301 and 3305?

Answer:

Greatest Common Factor of 3301 and 3305 = 1

Step 1: Find the prime factorization of 3301

3301 = 3301

Step 2: Find the prime factorization of 3305

3305 = 5 x 661

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 3301 and 3305 is 1