Greatest Common Factor of 13203 and 13208

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 13203, 13208 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13203 and 13208 is 1.

GCF(13203,13208) = 1

GCF of 13203 and 13208

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

GCF of:
and

Greatest Common Factor of 13203 and 13208

GCF of 13203 and 13208 is 1

Prime Factorization of 13203


3 13203
3 4401
3 1467
3 489
163 163
1

Prime factors of 13203 are 3,163. Prime factorization of 13203 in exponential form is:

13203 = 34×1631

Prime Factorization of 13208


2 13208
2 6604
2 3302
13 1651
127 127
1

Prime factors of 13208 are 2,13,127. Prime factorization of 13208 in exponential form is:

13208 = 23×131×1271

∴ So by taking common prime factors GCF of 13203 and 13208 is 1

Greatest Common Factor of 13203 and 13208 by matching factors method

Factors of 13203

List of positive integer factors of 13203 that divides 13203 without a remainder.

1,3,9,27,81,163,489,1467,4401,13203

Factors of 13208

List of positive integer factors of 13208 that divides 13208 without a remainder.

1,2,4,8,13,26,52,104,127,254,508,1016,1651,3302,6604,13208

Greatest Common Factor

We found the factors and prime factorization of 13203 and 13208. The biggest common factor number is the GCF number.
So the greatest common factor 13203 and 13208 is 1.

Also check out the Least Common Multiple of 13203 and 13208

Properties of GCF 13203 and 13208

(i) The GCF of 13203 and 13208 is associative

GCF of 13203 and 13208 = GCF of 13208 and 13203

Frequently Asked Questions on GCF of 13203 and 13208

1. What is the GCF of 13203 and 13208?

Answer: GCF of 13203 and 13208 is 1.

2. What are the Factors of 13203?

Answer: Factors of 13203 are 1, 3, 9, 27, 81, 163, 489, 1467, 4401, 13203. There are 10 integers that are factors of 13203. The greatest factor of 13203 is 13203.

3. What are the Factors of 13208?

Answer: Factors of 13208 are 1, 2, 4, 8, 13, 26, 52, 104, 127, 254, 508, 1016, 1651, 3302, 6604, 13208. There are 16 integers that are factors of 13208. The greatest factor of 13208 is 13208.

4. How to Find the GCF of 13203 and 13208?

Answer:

Greatest Common Factor of 13203 and 13208 = 1

Step 1: Find the prime factorization of 13203

13203 = 3 x 3 x 3 x 3 x 163

Step 2: Find the prime factorization of 13208

13208 = 2 x 2 x 2 x 13 x 127

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 13203 and 13208 is 1