Greatest Common Factor of 13217 and 13225

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 13217, 13225 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13217 and 13225 is 1.

GCF(13217,13225) = 1

GCF of 13217 and 13225

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

GCF of:
and

Greatest Common Factor of 13217 and 13225

GCF of 13217 and 13225 is 1

Prime Factorization of 13217


13217 13217
1

Prime factors of 13217 are 13217. Prime factorization of 13217 in exponential form is:

13217 = 132171

Prime Factorization of 13225


5 13225
5 2645
23 529
23 23
1

Prime factors of 13225 are 5.Prime factorization of 13225 in exponential form is:

13225 = 52×232

∴ So by taking common prime factors GCF of 13217 and 13225 is 1

Greatest Common Factor of 13217 and 13225 by matching factors method

Factors of 13217

List of positive integer factors of 13217 that divides 13217 without a remainder.

1,13217

Factors of 13225

List of positive integer factors of 13225 that divides 13225 without a remainder.

1,5,23,25,115,529,575,2645,13225

Greatest Common Factor

We found the factors and prime factorization of 13217 and 13225. The biggest common factor number is the GCF number.
So the greatest common factor 13217 and 13225 is 1.

Also check out the Least Common Multiple of 13217 and 13225

Properties of GCF 13217 and 13225

(i) The GCF of 13217 and 13225 is associative

GCF of 13217 and 13225 = GCF of 13225 and 13217

Related Greatest Common Factor of 13217

Related Greatest Common Factor of 13225

Frequently Asked Questions on GCF of 13217 and 13225

1. What is the GCF of 13217 and 13225?

Answer: GCF of 13217 and 13225 is 1.

2. What are the Factors of 13217?

Answer: Factors of 13217 are 1, 13217. There are 2 integers that are factors of 13217. The greatest factor of 13217 is 13217.

3. What are the Factors of 13225?

Answer: Factors of 13225 are 1, 5, 23, 25, 115, 529, 575, 2645, 13225. There are 9 integers that are factors of 13225. The greatest factor of 13225 is 13225.

4. How to Find the GCF of 13217 and 13225?

Answer:

Greatest Common Factor of 13217 and 13225 = 1

Step 1: Find the prime factorization of 13217

13217 = 13217

Step 2: Find the prime factorization of 13225

13225 = 5 x 5 x 23 x 23

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 13217 and 13225 is 1