Greatest Common Factor of 15248 and 15254

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 15248, 15254 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15248 and 15254 is 2.

GCF(15248,15254) = 2

GCF of 15248 and 15254

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

GCF of:
and

Greatest Common Factor of 15248 and 15254

GCF of 15248 and 15254 is 2

Prime Factorization of 15248


2 15248
2 7624
2 3812
2 1906
953 953
1

Prime factors of 15248 are 2,953. Prime factorization of 15248 in exponential form is:

15248 = 24×9531

Prime Factorization of 15254


2 15254
29 7627
263 263
1

Prime factors of 15254 are 2,29,263. Prime factorization of 15254 in exponential form is:

15254 = 21×291×2631

∴ So by taking common prime factors GCF of 15248 and 15254 is 2

Greatest Common Factor of 15248 and 15254 by matching factors method

Factors of 15248

List of positive integer factors of 15248 that divides 15248 without a remainder.

1,2,4,8,16,953,1906,3812,7624,15248

Factors of 15254

List of positive integer factors of 15254 that divides 15254 without a remainder.

1,2,29,58,263,526,7627,15254

Greatest Common Factor

We found the factors and prime factorization of 15248 and 15254. The biggest common factor number is the GCF number.
So the greatest common factor 15248 and 15254 is 2.

Also check out the Least Common Multiple of 15248 and 15254

Properties of GCF 15248 and 15254

(i) The GCF of 15248 and 15254 is associative

GCF of 15248 and 15254 = GCF of 15254 and 15248

Related Greatest Common Factor of 15248

Related Greatest Common Factor of 15254

Frequently Asked Questions on GCF of 15248 and 15254

1. What is the GCF of 15248 and 15254?

Answer: GCF of 15248 and 15254 is 2.

2. What are the Factors of 15248?

Answer: Factors of 15248 are 1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248. There are 10 integers that are factors of 15248. The greatest factor of 15248 is 15248.

3. What are the Factors of 15254?

Answer: Factors of 15254 are 1, 2, 29, 58, 263, 526, 7627, 15254. There are 8 integers that are factors of 15254. The greatest factor of 15254 is 15254.

4. How to Find the GCF of 15248 and 15254?

Answer:

Greatest Common Factor of 15248 and 15254 = 2

Step 1: Find the prime factorization of 15248

15248 = 2 x 2 x 2 x 2 x 953

Step 2: Find the prime factorization of 15254

15254 = 2 x 29 x 263

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 15248 and 15254 is 2