Greatest Common Factor of 9265 and 9271

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 9265, 9271 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9265 and 9271 is 1.

GCF(9265,9271) = 1

GCF of 9265 and 9271

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

GCF of:
and

Greatest Common Factor of 9265 and 9271

GCF of 9265 and 9271 is 1

Prime Factorization of 9265


5 9265
17 1853
109 109
1

Prime factors of 9265 are 5,17,109. Prime factorization of 9265 in exponential form is:

9265 = 51×171×1091

Prime Factorization of 9271


73 9271
127 127
1

Prime factors of 9271 are 73,127. Prime factorization of 9271 in exponential form is:

9271 = 731×1271

∴ So by taking common prime factors GCF of 9265 and 9271 is 1

Greatest Common Factor of 9265 and 9271 by matching factors method

Factors of 9265

List of positive integer factors of 9265 that divides 9265 without a remainder.

1,5,17,85,109,545,1853,9265

Factors of 9271

List of positive integer factors of 9271 that divides 9271 without a remainder.

1,73,127,9271

Greatest Common Factor

We found the factors and prime factorization of 9265 and 9271. The biggest common factor number is the GCF number.
So the greatest common factor 9265 and 9271 is 1.

Also check out the Least Common Multiple of 9265 and 9271

Properties of GCF 9265 and 9271

(i) The GCF of 9265 and 9271 is associative

GCF of 9265 and 9271 = GCF of 9271 and 9265

Related Greatest Common Factor of 9265

Related Greatest Common Factor of 9271

Frequently Asked Questions on GCF of 9265 and 9271

1. What is the GCF of 9265 and 9271?

Answer: GCF of 9265 and 9271 is 1.

2. What are the Factors of 9265?

Answer: Factors of 9265 are 1, 5, 17, 85, 109, 545, 1853, 9265. There are 8 integers that are factors of 9265. The greatest factor of 9265 is 9265.

3. What are the Factors of 9271?

Answer: Factors of 9271 are 1, 73, 127, 9271. There are 4 integers that are factors of 9271. The greatest factor of 9271 is 9271.

4. How to Find the GCF of 9265 and 9271?

Answer:

Greatest Common Factor of 9265 and 9271 = 1

Step 1: Find the prime factorization of 9265

9265 = 5 x 17 x 109

Step 2: Find the prime factorization of 9271

9271 = 73 x 127

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 9265 and 9271 is 1