Greatest Common Factor of 13300 and 13302

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 13300, 13302 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13300 and 13302 is 2.

GCF(13300,13302) = 2

GCF of 13300 and 13302

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

GCF of:
and

Greatest Common Factor of 13300 and 13302

GCF of 13300 and 13302 is 2

Prime Factorization of 13300


2 13300
2 6650
5 3325
5 665
7 133
19 19
1

Prime factors of 13300 are 2,5,7,19. Prime factorization of 13300 in exponential form is:

13300 = 22×52×71×191

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

∴ So by taking common prime factors GCF of 13300 and 13302 is 2

Greatest Common Factor of 13300 and 13302 by matching factors method

Factors of 13300

List of positive integer factors of 13300 that divides 13300 without a remainder.

1,2,4,5,7,10,14,19,20,25,28,35,38,50,70,76,95,100,133,140,175,190,266,350,380,475,532,665,700,950,1330,1900,2660,3325,6650,13300

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

Greatest Common Factor

We found the factors and prime factorization of 13300 and 13302. The biggest common factor number is the GCF number.
So the greatest common factor 13300 and 13302 is 2.

Also check out the Least Common Multiple of 13300 and 13302

Properties of GCF 13300 and 13302

(i) The GCF of 13300 and 13302 is associative

GCF of 13300 and 13302 = GCF of 13302 and 13300

Related Greatest Common Factor of 13300

Related Greatest Common Factor of 13302

Frequently Asked Questions on GCF of 13300 and 13302

1. What is the GCF of 13300 and 13302?

Answer: GCF of 13300 and 13302 is 2.

2. What are the Factors of 13300?

Answer: Factors of 13300 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 25, 28, 35, 38, 50, 70, 76, 95, 100, 133, 140, 175, 190, 266, 350, 380, 475, 532, 665, 700, 950, 1330, 1900, 2660, 3325, 6650, 13300. There are 36 integers that are factors of 13300. The greatest factor of 13300 is 13300.

3. 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.

4. How to Find the GCF of 13300 and 13302?

Answer:

Greatest Common Factor of 13300 and 13302 = 2

Step 1: Find the prime factorization of 13300

13300 = 2 x 2 x 5 x 5 x 7 x 19

Step 2: Find the prime factorization of 13302

13302 = 2 x 3 x 3 x 739

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 13300 and 13302 is 2