Greatest Common Factor of 9057 and 9063

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, 9063 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9057 and 9063 is 3.

GCF(9057,9063) = 3

GCF of 9057 and 9063

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

GCF of:
and

Greatest Common Factor of 9057 and 9063

GCF of 9057 and 9063 is 3

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 9063


3 9063
3 3021
19 1007
53 53
1

Prime factors of 9063 are 3,19,53. Prime factorization of 9063 in exponential form is:

9063 = 32×191×531

∴ So by taking common prime factors GCF of 9057 and 9063 is 3

Greatest Common Factor of 9057 and 9063 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 9063

List of positive integer factors of 9063 that divides 9063 without a remainder.

1,3,9,19,53,57,159,171,477,1007,3021,9063

Greatest Common Factor

We found the factors and prime factorization of 9057 and 9063. The biggest common factor number is the GCF number.
So the greatest common factor 9057 and 9063 is 3.

Also check out the Least Common Multiple of 9057 and 9063

Properties of GCF 9057 and 9063

(i) The GCF of 9057 and 9063 is associative

GCF of 9057 and 9063 = GCF of 9063 and 9057

Related Greatest Common Factor of 9057

Related Greatest Common Factor of 9063

Frequently Asked Questions on GCF of 9057 and 9063

1. What is the GCF of 9057 and 9063?

Answer: GCF of 9057 and 9063 is 3.

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 9063?

Answer: Factors of 9063 are 1, 3, 9, 19, 53, 57, 159, 171, 477, 1007, 3021, 9063. There are 12 integers that are factors of 9063. The greatest factor of 9063 is 9063.

4. How to Find the GCF of 9057 and 9063?

Answer:

Greatest Common Factor of 9057 and 9063 = 3

Step 1: Find the prime factorization of 9057

9057 = 3 x 3019

Step 2: Find the prime factorization of 9063

9063 = 3 x 3 x 19 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9057 and 9063 is 3