Greatest Common Factor of 9271 and 9279

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 9271, 9279 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9271 and 9279 is 1.

GCF(9271,9279) = 1

GCF of 9271 and 9279

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

GCF of:
and

Greatest Common Factor of 9271 and 9279

GCF of 9271 and 9279 is 1

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

Prime Factorization of 9279


3 9279
3 3093
1031 1031
1

Prime factors of 9279 are 3,1031. Prime factorization of 9279 in exponential form is:

9279 = 32×10311

∴ So by taking common prime factors GCF of 9271 and 9279 is 1

Greatest Common Factor of 9271 and 9279 by matching factors method

Factors of 9271

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

1,73,127,9271

Factors of 9279

List of positive integer factors of 9279 that divides 9279 without a remainder.

1,3,9,1031,3093,9279

Greatest Common Factor

We found the factors and prime factorization of 9271 and 9279. The biggest common factor number is the GCF number.
So the greatest common factor 9271 and 9279 is 1.

Also check out the Least Common Multiple of 9271 and 9279

Properties of GCF 9271 and 9279

(i) The GCF of 9271 and 9279 is associative

GCF of 9271 and 9279 = GCF of 9279 and 9271

Related Greatest Common Factor of 9271

Related Greatest Common Factor of 9279

Frequently Asked Questions on GCF of 9271 and 9279

1. What is the GCF of 9271 and 9279?

Answer: GCF of 9271 and 9279 is 1.

2. 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.

3. What are the Factors of 9279?

Answer: Factors of 9279 are 1, 3, 9, 1031, 3093, 9279. There are 6 integers that are factors of 9279. The greatest factor of 9279 is 9279.

4. How to Find the GCF of 9271 and 9279?

Answer:

Greatest Common Factor of 9271 and 9279 = 1

Step 1: Find the prime factorization of 9271

9271 = 73 x 127

Step 2: Find the prime factorization of 9279

9279 = 3 x 3 x 1031

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 9271 and 9279 is 1