Greatest Common Factor of 13210 and 13216

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 13210, 13216 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13210 and 13216 is 2.

GCF(13210,13216) = 2

GCF of 13210 and 13216

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

GCF of:
and

Greatest Common Factor of 13210 and 13216

GCF of 13210 and 13216 is 2

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

Prime Factorization of 13216


2 13216
2 6608
2 3304
2 1652
2 826
7 413
59 59
1

Prime factors of 13216 are 2,7,59. Prime factorization of 13216 in exponential form is:

13216 = 25×71×591

∴ So by taking common prime factors GCF of 13210 and 13216 is 2

Greatest Common Factor of 13210 and 13216 by matching factors method

Factors of 13210

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

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

Factors of 13216

List of positive integer factors of 13216 that divides 13216 without a remainder.

1,2,4,7,8,14,16,28,32,56,59,112,118,224,236,413,472,826,944,1652,1888,3304,6608,13216

Greatest Common Factor

We found the factors and prime factorization of 13210 and 13216. The biggest common factor number is the GCF number.
So the greatest common factor 13210 and 13216 is 2.

Also check out the Least Common Multiple of 13210 and 13216

Properties of GCF 13210 and 13216

(i) The GCF of 13210 and 13216 is associative

GCF of 13210 and 13216 = GCF of 13216 and 13210

Related Greatest Common Factor of 13210

Related Greatest Common Factor of 13216

Frequently Asked Questions on GCF of 13210 and 13216

1. What is the GCF of 13210 and 13216?

Answer: GCF of 13210 and 13216 is 2.

2. 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.

3. What are the Factors of 13216?

Answer: Factors of 13216 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 59, 112, 118, 224, 236, 413, 472, 826, 944, 1652, 1888, 3304, 6608, 13216. There are 24 integers that are factors of 13216. The greatest factor of 13216 is 13216.

4. How to Find the GCF of 13210 and 13216?

Answer:

Greatest Common Factor of 13210 and 13216 = 2

Step 1: Find the prime factorization of 13210

13210 = 2 x 5 x 1321

Step 2: Find the prime factorization of 13216

13216 = 2 x 2 x 2 x 2 x 2 x 7 x 59

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 13210 and 13216 is 2