Greatest Common Factor of 15248 and 15256

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, 15256 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15248 and 15256 is 8.

GCF(15248,15256) = 8

GCF of 15248 and 15256

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

GCF of:
and

Greatest Common Factor of 15248 and 15256

GCF of 15248 and 15256 is 8

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 15256


2 15256
2 7628
2 3814
1907 1907
1

Prime factors of 15256 are 2,1907. Prime factorization of 15256 in exponential form is:

15256 = 23×19071

∴ So by taking common prime factors GCF of 15248 and 15256 is 8

Greatest Common Factor of 15248 and 15256 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 15256

List of positive integer factors of 15256 that divides 15256 without a remainder.

1,2,4,8,1907,3814,7628,15256

Greatest Common Factor

We found the factors and prime factorization of 15248 and 15256. The biggest common factor number is the GCF number.
So the greatest common factor 15248 and 15256 is 8.

Also check out the Least Common Multiple of 15248 and 15256

Properties of GCF 15248 and 15256

(i) The GCF of 15248 and 15256 is associative

GCF of 15248 and 15256 = GCF of 15256 and 15248

Related Greatest Common Factor of 15248

Related Greatest Common Factor of 15256

Frequently Asked Questions on GCF of 15248 and 15256

1. What is the GCF of 15248 and 15256?

Answer: GCF of 15248 and 15256 is 8.

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 15256?

Answer: Factors of 15256 are 1, 2, 4, 8, 1907, 3814, 7628, 15256. There are 8 integers that are factors of 15256. The greatest factor of 15256 is 15256.

4. How to Find the GCF of 15248 and 15256?

Answer:

Greatest Common Factor of 15248 and 15256 = 8

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 15256

15256 = 2 x 2 x 2 x 1907

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 15248 and 15256 is 8