Greatest Common Factor of 9248 and 9253

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, 9253 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9248 and 9253 is 1.

GCF(9248,9253) = 1

GCF of 9248 and 9253

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

GCF of:
and

Greatest Common Factor of 9248 and 9253

GCF of 9248 and 9253 is 1

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 9253


19 9253
487 487
1

Prime factors of 9253 are 19,487. Prime factorization of 9253 in exponential form is:

9253 = 191×4871

∴ So by taking common prime factors GCF of 9248 and 9253 is 1

Greatest Common Factor of 9248 and 9253 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 9253

List of positive integer factors of 9253 that divides 9253 without a remainder.

1,19,487,9253

Greatest Common Factor

We found the factors and prime factorization of 9248 and 9253. The biggest common factor number is the GCF number.
So the greatest common factor 9248 and 9253 is 1.

Also check out the Least Common Multiple of 9248 and 9253

Properties of GCF 9248 and 9253

(i) The GCF of 9248 and 9253 is associative

GCF of 9248 and 9253 = GCF of 9253 and 9248

Related Greatest Common Factor of 9248

Related Greatest Common Factor of 9253

Frequently Asked Questions on GCF of 9248 and 9253

1. What is the GCF of 9248 and 9253?

Answer: GCF of 9248 and 9253 is 1.

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 9253?

Answer: Factors of 9253 are 1, 19, 487, 9253. There are 4 integers that are factors of 9253. The greatest factor of 9253 is 9253.

4. How to Find the GCF of 9248 and 9253?

Answer:

Greatest Common Factor of 9248 and 9253 = 1

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 9253

9253 = 19 x 487

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9248 and 9253 is 1