Greatest Common Factor of 13302 and 13305

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 13302, 13305 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13302 and 13305 is 3.

GCF(13302,13305) = 3

GCF of 13302 and 13305

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

GCF of:
and

Greatest Common Factor of 13302 and 13305

GCF of 13302 and 13305 is 3

Prime Factorization of 13302


2 13302
3 6651
3 2217
739 739
1

Prime factors of 13302 are 2,3,739. Prime factorization of 13302 in exponential form is:

13302 = 21×32×7391

Prime Factorization of 13305


3 13305
5 4435
887 887
1

Prime factors of 13305 are 3,5,887. Prime factorization of 13305 in exponential form is:

13305 = 31×51×8871

∴ So by taking common prime factors GCF of 13302 and 13305 is 3

Greatest Common Factor of 13302 and 13305 by matching factors method

Factors of 13302

List of positive integer factors of 13302 that divides 13302 without a remainder.

1,2,3,6,9,18,739,1478,2217,4434,6651,13302

Factors of 13305

List of positive integer factors of 13305 that divides 13305 without a remainder.

1,3,5,15,887,2661,4435,13305

Greatest Common Factor

We found the factors and prime factorization of 13302 and 13305. The biggest common factor number is the GCF number.
So the greatest common factor 13302 and 13305 is 3.

Also check out the Least Common Multiple of 13302 and 13305

Properties of GCF 13302 and 13305

(i) The GCF of 13302 and 13305 is associative

GCF of 13302 and 13305 = GCF of 13305 and 13302

Related Greatest Common Factor of 13302

Related Greatest Common Factor of 13305

Frequently Asked Questions on GCF of 13302 and 13305

1. What is the GCF of 13302 and 13305?

Answer: GCF of 13302 and 13305 is 3.

2. What are the Factors of 13302?

Answer: Factors of 13302 are 1, 2, 3, 6, 9, 18, 739, 1478, 2217, 4434, 6651, 13302. There are 12 integers that are factors of 13302. The greatest factor of 13302 is 13302.

3. What are the Factors of 13305?

Answer: Factors of 13305 are 1, 3, 5, 15, 887, 2661, 4435, 13305. There are 8 integers that are factors of 13305. The greatest factor of 13305 is 13305.

4. How to Find the GCF of 13302 and 13305?

Answer:

Greatest Common Factor of 13302 and 13305 = 3

Step 1: Find the prime factorization of 13302

13302 = 2 x 3 x 3 x 739

Step 2: Find the prime factorization of 13305

13305 = 3 x 5 x 887

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 13302 and 13305 is 3