Greatest Common Factor of 9248 and 9256

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 9248, 9256 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9248 and 9256 is 8.

GCF(9248,9256) = 8

GCF of 9248 and 9256

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

GCF of:
and

Greatest Common Factor of 9248 and 9256

GCF of 9248 and 9256 is 8

Prime Factorization of 9248


2 9248
2 4624
2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 9248 are 2,17. Prime factorization of 9248 in exponential form is:

9248 = 25×172

Prime Factorization of 9256


2 9256
2 4628
2 2314
13 1157
89 89
1

Prime factors of 9256 are 2,13,89. Prime factorization of 9256 in exponential form is:

9256 = 23×131×891

∴ So by taking common prime factors GCF of 9248 and 9256 is 8

Greatest Common Factor of 9248 and 9256 by matching factors method

Factors of 9248

List of positive integer factors of 9248 that divides 9248 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248

Factors of 9256

List of positive integer factors of 9256 that divides 9256 without a remainder.

1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256

Greatest Common Factor

We found the factors and prime factorization of 9248 and 9256. The biggest common factor number is the GCF number.
So the greatest common factor 9248 and 9256 is 8.

Also check out the Least Common Multiple of 9248 and 9256

Properties of GCF 9248 and 9256

(i) The GCF of 9248 and 9256 is associative

GCF of 9248 and 9256 = GCF of 9256 and 9248

Related Greatest Common Factor of 9248

Related Greatest Common Factor of 9256

Frequently Asked Questions on GCF of 9248 and 9256

1. What is the GCF of 9248 and 9256?

Answer: GCF of 9248 and 9256 is 8.

2. What are the Factors of 9248?

Answer: Factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248. There are 18 integers that are factors of 9248. The greatest factor of 9248 is 9248.

3. What are the Factors of 9256?

Answer: Factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256. There are 16 integers that are factors of 9256. The greatest factor of 9256 is 9256.

4. How to Find the GCF of 9248 and 9256?

Answer:

Greatest Common Factor of 9248 and 9256 = 8

Step 1: Find the prime factorization of 9248

9248 = 2 x 2 x 2 x 2 x 2 x 17 x 17

Step 2: Find the prime factorization of 9256

9256 = 2 x 2 x 2 x 13 x 89

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 9248 and 9256 is 8