Greatest Common Factor of 9057 and 9064

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 9057, 9064 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9057 and 9064 is 1.

GCF(9057,9064) = 1

GCF of 9057 and 9064

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

GCF of:
and

Greatest Common Factor of 9057 and 9064

GCF of 9057 and 9064 is 1

Prime Factorization of 9057


3 9057
3019 3019
1

Prime factors of 9057 are 3,3019. Prime factorization of 9057 in exponential form is:

9057 = 31×30191

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

∴ So by taking common prime factors GCF of 9057 and 9064 is 1

Greatest Common Factor of 9057 and 9064 by matching factors method

Factors of 9057

List of positive integer factors of 9057 that divides 9057 without a remainder.

1,3,3019,9057

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

Greatest Common Factor

We found the factors and prime factorization of 9057 and 9064. The biggest common factor number is the GCF number.
So the greatest common factor 9057 and 9064 is 1.

Also check out the Least Common Multiple of 9057 and 9064

Properties of GCF 9057 and 9064

(i) The GCF of 9057 and 9064 is associative

GCF of 9057 and 9064 = GCF of 9064 and 9057

Related Greatest Common Factor of 9057

Related Greatest Common Factor of 9064

Frequently Asked Questions on GCF of 9057 and 9064

1. What is the GCF of 9057 and 9064?

Answer: GCF of 9057 and 9064 is 1.

2. What are the Factors of 9057?

Answer: Factors of 9057 are 1, 3, 3019, 9057. There are 4 integers that are factors of 9057. The greatest factor of 9057 is 9057.

3. 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.

4. How to Find the GCF of 9057 and 9064?

Answer:

Greatest Common Factor of 9057 and 9064 = 1

Step 1: Find the prime factorization of 9057

9057 = 3 x 3019

Step 2: Find the prime factorization of 9064

9064 = 2 x 2 x 2 x 11 x 103

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 9057 and 9064 is 1