Greatest Common Factor of 9244 and 9248

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 9244, 9248 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9244 and 9248 is 4.

GCF(9244,9248) = 4

GCF of 9244 and 9248

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

GCF of:
and

Greatest Common Factor of 9244 and 9248

GCF of 9244 and 9248 is 4

Prime Factorization of 9244


2 9244
2 4622
2311 2311
1

Prime factors of 9244 are 2,2311. Prime factorization of 9244 in exponential form is:

9244 = 22×23111

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

∴ So by taking common prime factors GCF of 9244 and 9248 is 4

Greatest Common Factor of 9244 and 9248 by matching factors method

Factors of 9244

List of positive integer factors of 9244 that divides 9244 without a remainder.

1,2,4,2311,4622,9244

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

Greatest Common Factor

We found the factors and prime factorization of 9244 and 9248. The biggest common factor number is the GCF number.
So the greatest common factor 9244 and 9248 is 4.

Also check out the Least Common Multiple of 9244 and 9248

Properties of GCF 9244 and 9248

(i) The GCF of 9244 and 9248 is associative

GCF of 9244 and 9248 = GCF of 9248 and 9244

Related Greatest Common Factor of 9244

Related Greatest Common Factor of 9248

Frequently Asked Questions on GCF of 9244 and 9248

1. What is the GCF of 9244 and 9248?

Answer: GCF of 9244 and 9248 is 4.

2. What are the Factors of 9244?

Answer: Factors of 9244 are 1, 2, 4, 2311, 4622, 9244. There are 6 integers that are factors of 9244. The greatest factor of 9244 is 9244.

3. 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.

4. How to Find the GCF of 9244 and 9248?

Answer:

Greatest Common Factor of 9244 and 9248 = 4

Step 1: Find the prime factorization of 9244

9244 = 2 x 2 x 2311

Step 2: Find the prime factorization of 9248

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9244 and 9248 is 4