Greatest Common Factor of 15239 and 15245

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 15239, 15245 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15239 and 15245 is 1.

GCF(15239,15245) = 1

GCF of 15239 and 15245

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

GCF of:
and

Greatest Common Factor of 15239 and 15245

GCF of 15239 and 15245 is 1

Prime Factorization of 15239


7 15239
7 2177
311 311
1

Prime factors of 15239 are 7,311. Prime factorization of 15239 in exponential form is:

15239 = 72×3111

Prime Factorization of 15245


5 15245
3049 3049
1

Prime factors of 15245 are 5,3049. Prime factorization of 15245 in exponential form is:

15245 = 51×30491

∴ So by taking common prime factors GCF of 15239 and 15245 is 1

Greatest Common Factor of 15239 and 15245 by matching factors method

Factors of 15239

List of positive integer factors of 15239 that divides 15239 without a remainder.

1,7,49,311,2177,15239

Factors of 15245

List of positive integer factors of 15245 that divides 15245 without a remainder.

1,5,3049,15245

Greatest Common Factor

We found the factors and prime factorization of 15239 and 15245. The biggest common factor number is the GCF number.
So the greatest common factor 15239 and 15245 is 1.

Also check out the Least Common Multiple of 15239 and 15245

Properties of GCF 15239 and 15245

(i) The GCF of 15239 and 15245 is associative

GCF of 15239 and 15245 = GCF of 15245 and 15239

Frequently Asked Questions on GCF of 15239 and 15245

1. What is the GCF of 15239 and 15245?

Answer: GCF of 15239 and 15245 is 1.

2. What are the Factors of 15239?

Answer: Factors of 15239 are 1, 7, 49, 311, 2177, 15239. There are 6 integers that are factors of 15239. The greatest factor of 15239 is 15239.

3. What are the Factors of 15245?

Answer: Factors of 15245 are 1, 5, 3049, 15245. There are 4 integers that are factors of 15245. The greatest factor of 15245 is 15245.

4. How to Find the GCF of 15239 and 15245?

Answer:

Greatest Common Factor of 15239 and 15245 = 1

Step 1: Find the prime factorization of 15239

15239 = 7 x 7 x 311

Step 2: Find the prime factorization of 15245

15245 = 5 x 3049

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 15239 and 15245 is 1