Greatest Common Factor of 9054 and 9057

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 9054, 9057 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9054 and 9057 is 3.

GCF(9054,9057) = 3

GCF of 9054 and 9057

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

GCF of:
and

Greatest Common Factor of 9054 and 9057

GCF of 9054 and 9057 is 3

Prime Factorization of 9054


2 9054
3 4527
3 1509
503 503
1

Prime factors of 9054 are 2,3,503. Prime factorization of 9054 in exponential form is:

9054 = 21×32×5031

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

∴ So by taking common prime factors GCF of 9054 and 9057 is 3

Greatest Common Factor of 9054 and 9057 by matching factors method

Factors of 9054

List of positive integer factors of 9054 that divides 9054 without a remainder.

1,2,3,6,9,18,503,1006,1509,3018,4527,9054

Factors of 9057

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

1,3,3019,9057

Greatest Common Factor

We found the factors and prime factorization of 9054 and 9057. The biggest common factor number is the GCF number.
So the greatest common factor 9054 and 9057 is 3.

Also check out the Least Common Multiple of 9054 and 9057

Properties of GCF 9054 and 9057

(i) The GCF of 9054 and 9057 is associative

GCF of 9054 and 9057 = GCF of 9057 and 9054

Related Greatest Common Factor of 9054

Related Greatest Common Factor of 9057

Frequently Asked Questions on GCF of 9054 and 9057

1. What is the GCF of 9054 and 9057?

Answer: GCF of 9054 and 9057 is 3.

2. What are the Factors of 9054?

Answer: Factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054. There are 12 integers that are factors of 9054. The greatest factor of 9054 is 9054.

3. 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.

4. How to Find the GCF of 9054 and 9057?

Answer:

Greatest Common Factor of 9054 and 9057 = 3

Step 1: Find the prime factorization of 9054

9054 = 2 x 3 x 3 x 503

Step 2: Find the prime factorization of 9057

9057 = 3 x 3019

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 9054 and 9057 is 3