Greatest Common Factor of 17242 and 17249

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 17242, 17249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17242 and 17249 is 1.

GCF(17242,17249) = 1

GCF of 17242 and 17249

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

GCF of:
and

Greatest Common Factor of 17242 and 17249

GCF of 17242 and 17249 is 1

Prime Factorization of 17242


2 17242
37 8621
233 233
1

Prime factors of 17242 are 2,37,233. Prime factorization of 17242 in exponential form is:

17242 = 21×371×2331

Prime Factorization of 17249


47 17249
367 367
1

Prime factors of 17249 are 47,367. Prime factorization of 17249 in exponential form is:

17249 = 471×3671

∴ So by taking common prime factors GCF of 17242 and 17249 is 1

Greatest Common Factor of 17242 and 17249 by matching factors method

Factors of 17242

List of positive integer factors of 17242 that divides 17242 without a remainder.

1,2,37,74,233,466,8621,17242

Factors of 17249

List of positive integer factors of 17249 that divides 17249 without a remainder.

1,47,367,17249

Greatest Common Factor

We found the factors and prime factorization of 17242 and 17249. The biggest common factor number is the GCF number.
So the greatest common factor 17242 and 17249 is 1.

Also check out the Least Common Multiple of 17242 and 17249

Properties of GCF 17242 and 17249

(i) The GCF of 17242 and 17249 is associative

GCF of 17242 and 17249 = GCF of 17249 and 17242

Related Greatest Common Factor of 17242

Related Greatest Common Factor of 17249

Frequently Asked Questions on GCF of 17242 and 17249

1. What is the GCF of 17242 and 17249?

Answer: GCF of 17242 and 17249 is 1.

2. What are the Factors of 17242?

Answer: Factors of 17242 are 1, 2, 37, 74, 233, 466, 8621, 17242. There are 8 integers that are factors of 17242. The greatest factor of 17242 is 17242.

3. What are the Factors of 17249?

Answer: Factors of 17249 are 1, 47, 367, 17249. There are 4 integers that are factors of 17249. The greatest factor of 17249 is 17249.

4. How to Find the GCF of 17242 and 17249?

Answer:

Greatest Common Factor of 17242 and 17249 = 1

Step 1: Find the prime factorization of 17242

17242 = 2 x 37 x 233

Step 2: Find the prime factorization of 17249

17249 = 47 x 367

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 17242 and 17249 is 1