Greatest Common Factor of 17225 and 17231

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 17225, 17231 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17225 and 17231 is 1.

GCF(17225,17231) = 1

GCF of 17225 and 17231

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

GCF of:
and

Greatest Common Factor of 17225 and 17231

GCF of 17225 and 17231 is 1

Prime Factorization of 17225


5 17225
5 3445
13 689
53 53
1

Prime factors of 17225 are 5,13,53. Prime factorization of 17225 in exponential form is:

17225 = 52×131×531

Prime Factorization of 17231


17231 17231
1

Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:

17231 = 172311

∴ So by taking common prime factors GCF of 17225 and 17231 is 1

Greatest Common Factor of 17225 and 17231 by matching factors method

Factors of 17225

List of positive integer factors of 17225 that divides 17225 without a remainder.

1,5,13,25,53,65,265,325,689,1325,3445,17225

Factors of 17231

List of positive integer factors of 17231 that divides 17231 without a remainder.

1,17231

Greatest Common Factor

We found the factors and prime factorization of 17225 and 17231. The biggest common factor number is the GCF number.
So the greatest common factor 17225 and 17231 is 1.

Also check out the Least Common Multiple of 17225 and 17231

Properties of GCF 17225 and 17231

(i) The GCF of 17225 and 17231 is associative

GCF of 17225 and 17231 = GCF of 17231 and 17225

Related Greatest Common Factor of 17225

Related Greatest Common Factor of 17231

Frequently Asked Questions on GCF of 17225 and 17231

1. What is the GCF of 17225 and 17231?

Answer: GCF of 17225 and 17231 is 1.

2. What are the Factors of 17225?

Answer: Factors of 17225 are 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225. There are 12 integers that are factors of 17225. The greatest factor of 17225 is 17225.

3. What are the Factors of 17231?

Answer: Factors of 17231 are 1, 17231. There are 2 integers that are factors of 17231. The greatest factor of 17231 is 17231.

4. How to Find the GCF of 17225 and 17231?

Answer:

Greatest Common Factor of 17225 and 17231 = 1

Step 1: Find the prime factorization of 17225

17225 = 5 x 5 x 13 x 53

Step 2: Find the prime factorization of 17231

17231 = 17231

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 17225 and 17231 is 1