Greatest Common Factor of 13208 and 13213

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 13208, 13213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13208 and 13213 is 1.

GCF(13208,13213) = 1

GCF of 13208 and 13213

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

GCF of:
and

Greatest Common Factor of 13208 and 13213

GCF of 13208 and 13213 is 1

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

Prime Factorization of 13213


73 13213
181 181
1

Prime factors of 13213 are 73,181. Prime factorization of 13213 in exponential form is:

13213 = 731×1811

∴ So by taking common prime factors GCF of 13208 and 13213 is 1

Greatest Common Factor of 13208 and 13213 by matching factors method

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

Factors of 13213

List of positive integer factors of 13213 that divides 13213 without a remainder.

1,73,181,13213

Greatest Common Factor

We found the factors and prime factorization of 13208 and 13213. The biggest common factor number is the GCF number.
So the greatest common factor 13208 and 13213 is 1.

Also check out the Least Common Multiple of 13208 and 13213

Properties of GCF 13208 and 13213

(i) The GCF of 13208 and 13213 is associative

GCF of 13208 and 13213 = GCF of 13213 and 13208

Related Greatest Common Factor of 13208

Related Greatest Common Factor of 13213

Frequently Asked Questions on GCF of 13208 and 13213

1. What is the GCF of 13208 and 13213?

Answer: GCF of 13208 and 13213 is 1.

2. 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.

3. What are the Factors of 13213?

Answer: Factors of 13213 are 1, 73, 181, 13213. There are 4 integers that are factors of 13213. The greatest factor of 13213 is 13213.

4. How to Find the GCF of 13208 and 13213?

Answer:

Greatest Common Factor of 13208 and 13213 = 1

Step 1: Find the prime factorization of 13208

13208 = 2 x 2 x 2 x 13 x 127

Step 2: Find the prime factorization of 13213

13213 = 73 x 181

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 13208 and 13213 is 1