Greatest Common Factor of 28248 and 28256

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 28248, 28256 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28248 and 28256 is 8.

GCF(28248,28256) = 8

GCF of 28248 and 28256

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

GCF of:
and

Greatest Common Factor of 28248 and 28256

GCF of 28248 and 28256 is 8

Prime Factorization of 28248


2 28248
2 14124
2 7062
3 3531
11 1177
107 107
1

Prime factors of 28248 are 2,3,11,107. Prime factorization of 28248 in exponential form is:

28248 = 23×31×111×1071

Prime Factorization of 28256


2 28256
2 14128
2 7064
2 3532
2 1766
883 883
1

Prime factors of 28256 are 2,883. Prime factorization of 28256 in exponential form is:

28256 = 25×8831

∴ So by taking common prime factors GCF of 28248 and 28256 is 8

Greatest Common Factor of 28248 and 28256 by matching factors method

Factors of 28248

List of positive integer factors of 28248 that divides 28248 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,107,132,214,264,321,428,642,856,1177,1284,2354,2568,3531,4708,7062,9416,14124,28248

Factors of 28256

List of positive integer factors of 28256 that divides 28256 without a remainder.

1,2,4,8,16,32,883,1766,3532,7064,14128,28256

Greatest Common Factor

We found the factors and prime factorization of 28248 and 28256. The biggest common factor number is the GCF number.
So the greatest common factor 28248 and 28256 is 8.

Also check out the Least Common Multiple of 28248 and 28256

Properties of GCF 28248 and 28256

(i) The GCF of 28248 and 28256 is associative

GCF of 28248 and 28256 = GCF of 28256 and 28248

Related Greatest Common Factor of 28248

Related Greatest Common Factor of 28256

Frequently Asked Questions on GCF of 28248 and 28256

1. What is the GCF of 28248 and 28256?

Answer: GCF of 28248 and 28256 is 8.

2. What are the Factors of 28248?

Answer: Factors of 28248 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 107, 132, 214, 264, 321, 428, 642, 856, 1177, 1284, 2354, 2568, 3531, 4708, 7062, 9416, 14124, 28248. There are 32 integers that are factors of 28248. The greatest factor of 28248 is 28248.

3. What are the Factors of 28256?

Answer: Factors of 28256 are 1, 2, 4, 8, 16, 32, 883, 1766, 3532, 7064, 14128, 28256. There are 12 integers that are factors of 28256. The greatest factor of 28256 is 28256.

4. How to Find the GCF of 28248 and 28256?

Answer:

Greatest Common Factor of 28248 and 28256 = 8

Step 1: Find the prime factorization of 28248

28248 = 2 x 2 x 2 x 3 x 11 x 107

Step 2: Find the prime factorization of 28256

28256 = 2 x 2 x 2 x 2 x 2 x 883

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 28248 and 28256 is 8