Greatest Common Factor of 9064 and 9065

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 9064, 9065 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9064 and 9065 is 1.

GCF(9064,9065) = 1

GCF of 9064 and 9065

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

GCF of:
and

Greatest Common Factor of 9064 and 9065

GCF of 9064 and 9065 is 1

Prime Factorization of 9064


2 9064
2 4532
2 2266
11 1133
103 103
1

Prime factors of 9064 are 2,11,103. Prime factorization of 9064 in exponential form is:

9064 = 23×111×1031

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

∴ So by taking common prime factors GCF of 9064 and 9065 is 1

Greatest Common Factor of 9064 and 9065 by matching factors method

Factors of 9064

List of positive integer factors of 9064 that divides 9064 without a remainder.

1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064

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

Greatest Common Factor

We found the factors and prime factorization of 9064 and 9065. The biggest common factor number is the GCF number.
So the greatest common factor 9064 and 9065 is 1.

Also check out the Least Common Multiple of 9064 and 9065

Properties of GCF 9064 and 9065

(i) The GCF of 9064 and 9065 is associative

GCF of 9064 and 9065 = GCF of 9065 and 9064

Related Greatest Common Factor of 9064

Related Greatest Common Factor of 9065

Frequently Asked Questions on GCF of 9064 and 9065

1. What is the GCF of 9064 and 9065?

Answer: GCF of 9064 and 9065 is 1.

2. What are the Factors of 9064?

Answer: Factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064. There are 16 integers that are factors of 9064. The greatest factor of 9064 is 9064.

3. 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.

4. How to Find the GCF of 9064 and 9065?

Answer:

Greatest Common Factor of 9064 and 9065 = 1

Step 1: Find the prime factorization of 9064

9064 = 2 x 2 x 2 x 11 x 103

Step 2: Find the prime factorization of 9065

9065 = 5 x 7 x 7 x 37

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 9064 and 9065 is 1