Greatest Common Factor of 15238 and 15242

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 15238, 15242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15238 and 15242 is 2.

GCF(15238,15242) = 2

GCF of 15238 and 15242

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

GCF of:
and

Greatest Common Factor of 15238 and 15242

GCF of 15238 and 15242 is 2

Prime Factorization of 15238


2 15238
19 7619
401 401
1

Prime factors of 15238 are 2,19,401. Prime factorization of 15238 in exponential form is:

15238 = 21×191×4011

Prime Factorization of 15242


2 15242
7621 7621
1

Prime factors of 15242 are 2,7621. Prime factorization of 15242 in exponential form is:

15242 = 21×76211

∴ So by taking common prime factors GCF of 15238 and 15242 is 2

Greatest Common Factor of 15238 and 15242 by matching factors method

Factors of 15238

List of positive integer factors of 15238 that divides 15238 without a remainder.

1,2,19,38,401,802,7619,15238

Factors of 15242

List of positive integer factors of 15242 that divides 15242 without a remainder.

1,2,7621,15242

Greatest Common Factor

We found the factors and prime factorization of 15238 and 15242. The biggest common factor number is the GCF number.
So the greatest common factor 15238 and 15242 is 2.

Also check out the Least Common Multiple of 15238 and 15242

Properties of GCF 15238 and 15242

(i) The GCF of 15238 and 15242 is associative

GCF of 15238 and 15242 = GCF of 15242 and 15238

Related Greatest Common Factor of 15238

Related Greatest Common Factor of 15242

Frequently Asked Questions on GCF of 15238 and 15242

1. What is the GCF of 15238 and 15242?

Answer: GCF of 15238 and 15242 is 2.

2. What are the Factors of 15238?

Answer: Factors of 15238 are 1, 2, 19, 38, 401, 802, 7619, 15238. There are 8 integers that are factors of 15238. The greatest factor of 15238 is 15238.

3. What are the Factors of 15242?

Answer: Factors of 15242 are 1, 2, 7621, 15242. There are 4 integers that are factors of 15242. The greatest factor of 15242 is 15242.

4. How to Find the GCF of 15238 and 15242?

Answer:

Greatest Common Factor of 15238 and 15242 = 2

Step 1: Find the prime factorization of 15238

15238 = 2 x 19 x 401

Step 2: Find the prime factorization of 15242

15242 = 2 x 7621

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 15238 and 15242 is 2