Greatest Common Factor of 9065 and 9071

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 9065, 9071 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9065 and 9071 is 1.

GCF(9065,9071) = 1

GCF of 9065 and 9071

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

GCF of:
and

Greatest Common Factor of 9065 and 9071

GCF of 9065 and 9071 is 1

Prime Factorization of 9065


5 9065
7 1813
7 259
37 37
1

Prime factors of 9065 are 5,7,37. Prime factorization of 9065 in exponential form is:

9065 = 51×72×371

Prime Factorization of 9071


47 9071
193 193
1

Prime factors of 9071 are 47,193. Prime factorization of 9071 in exponential form is:

9071 = 471×1931

∴ So by taking common prime factors GCF of 9065 and 9071 is 1

Greatest Common Factor of 9065 and 9071 by matching factors method

Factors of 9065

List of positive integer factors of 9065 that divides 9065 without a remainder.

1,5,7,35,37,49,185,245,259,1295,1813,9065

Factors of 9071

List of positive integer factors of 9071 that divides 9071 without a remainder.

1,47,193,9071

Greatest Common Factor

We found the factors and prime factorization of 9065 and 9071. The biggest common factor number is the GCF number.
So the greatest common factor 9065 and 9071 is 1.

Also check out the Least Common Multiple of 9065 and 9071

Properties of GCF 9065 and 9071

(i) The GCF of 9065 and 9071 is associative

GCF of 9065 and 9071 = GCF of 9071 and 9065

Related Greatest Common Factor of 9065

Related Greatest Common Factor of 9071

Frequently Asked Questions on GCF of 9065 and 9071

1. What is the GCF of 9065 and 9071?

Answer: GCF of 9065 and 9071 is 1.

2. What are the Factors of 9065?

Answer: Factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065. There are 12 integers that are factors of 9065. The greatest factor of 9065 is 9065.

3. What are the Factors of 9071?

Answer: Factors of 9071 are 1, 47, 193, 9071. There are 4 integers that are factors of 9071. The greatest factor of 9071 is 9071.

4. How to Find the GCF of 9065 and 9071?

Answer:

Greatest Common Factor of 9065 and 9071 = 1

Step 1: Find the prime factorization of 9065

9065 = 5 x 7 x 7 x 37

Step 2: Find the prime factorization of 9071

9071 = 47 x 193

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 9065 and 9071 is 1