Greatest Common Factor of 9085 and 9089

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 9085, 9089 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9085 and 9089 is 1.

GCF(9085,9089) = 1

GCF of 9085 and 9089

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

GCF of:
and

Greatest Common Factor of 9085 and 9089

GCF of 9085 and 9089 is 1

Prime Factorization of 9085


5 9085
23 1817
79 79
1

Prime factors of 9085 are 5,23,79. Prime factorization of 9085 in exponential form is:

9085 = 51×231×791

Prime Factorization of 9089


61 9089
149 149
1

Prime factors of 9089 are 61,149. Prime factorization of 9089 in exponential form is:

9089 = 611×1491

∴ So by taking common prime factors GCF of 9085 and 9089 is 1

Greatest Common Factor of 9085 and 9089 by matching factors method

Factors of 9085

List of positive integer factors of 9085 that divides 9085 without a remainder.

1,5,23,79,115,395,1817,9085

Factors of 9089

List of positive integer factors of 9089 that divides 9089 without a remainder.

1,61,149,9089

Greatest Common Factor

We found the factors and prime factorization of 9085 and 9089. The biggest common factor number is the GCF number.
So the greatest common factor 9085 and 9089 is 1.

Also check out the Least Common Multiple of 9085 and 9089

Properties of GCF 9085 and 9089

(i) The GCF of 9085 and 9089 is associative

GCF of 9085 and 9089 = GCF of 9089 and 9085

Related Greatest Common Factor of 9085

Related Greatest Common Factor of 9089

Frequently Asked Questions on GCF of 9085 and 9089

1. What is the GCF of 9085 and 9089?

Answer: GCF of 9085 and 9089 is 1.

2. What are the Factors of 9085?

Answer: Factors of 9085 are 1, 5, 23, 79, 115, 395, 1817, 9085. There are 8 integers that are factors of 9085. The greatest factor of 9085 is 9085.

3. What are the Factors of 9089?

Answer: Factors of 9089 are 1, 61, 149, 9089. There are 4 integers that are factors of 9089. The greatest factor of 9089 is 9089.

4. How to Find the GCF of 9085 and 9089?

Answer:

Greatest Common Factor of 9085 and 9089 = 1

Step 1: Find the prime factorization of 9085

9085 = 5 x 23 x 79

Step 2: Find the prime factorization of 9089

9089 = 61 x 149

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 9085 and 9089 is 1