Greatest Common Factor of 9253 and 9255

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 9253, 9255 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9253 and 9255 is 1.

GCF(9253,9255) = 1

GCF of 9253 and 9255

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

GCF of:
and

Greatest Common Factor of 9253 and 9255

GCF of 9253 and 9255 is 1

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

Prime Factorization of 9255


3 9255
5 3085
617 617
1

Prime factors of 9255 are 3,5,617. Prime factorization of 9255 in exponential form is:

9255 = 31×51×6171

∴ So by taking common prime factors GCF of 9253 and 9255 is 1

Greatest Common Factor of 9253 and 9255 by matching factors method

Factors of 9253

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

1,19,487,9253

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1,3,5,15,617,1851,3085,9255

Greatest Common Factor

We found the factors and prime factorization of 9253 and 9255. The biggest common factor number is the GCF number.
So the greatest common factor 9253 and 9255 is 1.

Also check out the Least Common Multiple of 9253 and 9255

Properties of GCF 9253 and 9255

(i) The GCF of 9253 and 9255 is associative

GCF of 9253 and 9255 = GCF of 9255 and 9253

Frequently Asked Questions on GCF of 9253 and 9255

1. What is the GCF of 9253 and 9255?

Answer: GCF of 9253 and 9255 is 1.

2. 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.

3. What are the Factors of 9255?

Answer: Factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255. There are 8 integers that are factors of 9255. The greatest factor of 9255 is 9255.

4. How to Find the GCF of 9253 and 9255?

Answer:

Greatest Common Factor of 9253 and 9255 = 1

Step 1: Find the prime factorization of 9253

9253 = 19 x 487

Step 2: Find the prime factorization of 9255

9255 = 3 x 5 x 617

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 9253 and 9255 is 1