Greatest Common Factor of 13208 and 13210

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, 13210 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13208 and 13210 is 2.

GCF(13208,13210) = 2

GCF of 13208 and 13210

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

GCF of:
and

Greatest Common Factor of 13208 and 13210

GCF of 13208 and 13210 is 2

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 13210


2 13210
5 6605
1321 1321
1

Prime factors of 13210 are 2,5,1321. Prime factorization of 13210 in exponential form is:

13210 = 21×51×13211

∴ So by taking common prime factors GCF of 13208 and 13210 is 2

Greatest Common Factor of 13208 and 13210 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 13210

List of positive integer factors of 13210 that divides 13210 without a remainder.

1,2,5,10,1321,2642,6605,13210

Greatest Common Factor

We found the factors and prime factorization of 13208 and 13210. The biggest common factor number is the GCF number.
So the greatest common factor 13208 and 13210 is 2.

Also check out the Least Common Multiple of 13208 and 13210

Properties of GCF 13208 and 13210

(i) The GCF of 13208 and 13210 is associative

GCF of 13208 and 13210 = GCF of 13210 and 13208

Related Greatest Common Factor of 13208

Related Greatest Common Factor of 13210

Frequently Asked Questions on GCF of 13208 and 13210

1. What is the GCF of 13208 and 13210?

Answer: GCF of 13208 and 13210 is 2.

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 13210?

Answer: Factors of 13210 are 1, 2, 5, 10, 1321, 2642, 6605, 13210. There are 8 integers that are factors of 13210. The greatest factor of 13210 is 13210.

4. How to Find the GCF of 13208 and 13210?

Answer:

Greatest Common Factor of 13208 and 13210 = 2

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 13210

13210 = 2 x 5 x 1321

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 13208 and 13210 is 2