Greatest Common Factor of 13229 and 13230

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 13229, 13230 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13229 and 13230 is 1.

GCF(13229,13230) = 1

GCF of 13229 and 13230

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

GCF of:
and

Greatest Common Factor of 13229 and 13230

GCF of 13229 and 13230 is 1

Prime Factorization of 13229


13229 13229
1

Prime factors of 13229 are 13229. Prime factorization of 13229 in exponential form is:

13229 = 132291

Prime Factorization of 13230


2 13230
3 6615
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 13230 are 2.Prime factorization of 13230 in exponential form is:

13230 = 21×33×51×72

∴ So by taking common prime factors GCF of 13229 and 13230 is 1

Greatest Common Factor of 13229 and 13230 by matching factors method

Factors of 13229

List of positive integer factors of 13229 that divides 13229 without a remainder.

1,13229

Factors of 13230

List of positive integer factors of 13230 that divides 13230 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,49,54,63,70,90,98,105,126,135,147,189,210,245,270,294,315,378,441,490,630,735,882,945,1323,1470,1890,2205,2646,4410,6615,13230

Greatest Common Factor

We found the factors and prime factorization of 13229 and 13230. The biggest common factor number is the GCF number.
So the greatest common factor 13229 and 13230 is 1.

Also check out the Least Common Multiple of 13229 and 13230

Properties of GCF 13229 and 13230

(i) The GCF of 13229 and 13230 is associative

GCF of 13229 and 13230 = GCF of 13230 and 13229

Related Greatest Common Factor of 13229

Related Greatest Common Factor of 13230

Frequently Asked Questions on GCF of 13229 and 13230

1. What is the GCF of 13229 and 13230?

Answer: GCF of 13229 and 13230 is 1.

2. What are the Factors of 13229?

Answer: Factors of 13229 are 1, 13229. There are 2 integers that are factors of 13229. The greatest factor of 13229 is 13229.

3. What are the Factors of 13230?

Answer: Factors of 13230 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 49, 54, 63, 70, 90, 98, 105, 126, 135, 147, 189, 210, 245, 270, 294, 315, 378, 441, 490, 630, 735, 882, 945, 1323, 1470, 1890, 2205, 2646, 4410, 6615, 13230. There are 48 integers that are factors of 13230. The greatest factor of 13230 is 13230.

4. How to Find the GCF of 13229 and 13230?

Answer:

Greatest Common Factor of 13229 and 13230 = 1

Step 1: Find the prime factorization of 13229

13229 = 13229

Step 2: Find the prime factorization of 13230

13230 = 2 x 3 x 3 x 3 x 5 x 7 x 7

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 13229 and 13230 is 1