Greatest Common Factor of 9054 and 9060

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, 9060 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9054 and 9060 is 6.

GCF(9054,9060) = 6

GCF of 9054 and 9060

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

GCF of:
and

Greatest Common Factor of 9054 and 9060

GCF of 9054 and 9060 is 6

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 9060


2 9060
2 4530
3 2265
5 755
151 151
1

Prime factors of 9060 are 2,3,5,151. Prime factorization of 9060 in exponential form is:

9060 = 22×31×51×1511

∴ So by taking common prime factors GCF of 9054 and 9060 is 6

Greatest Common Factor of 9054 and 9060 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 9060

List of positive integer factors of 9060 that divides 9060 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060

Greatest Common Factor

We found the factors and prime factorization of 9054 and 9060. The biggest common factor number is the GCF number.
So the greatest common factor 9054 and 9060 is 6.

Also check out the Least Common Multiple of 9054 and 9060

Properties of GCF 9054 and 9060

(i) The GCF of 9054 and 9060 is associative

GCF of 9054 and 9060 = GCF of 9060 and 9054

Related Greatest Common Factor of 9054

Related Greatest Common Factor of 9060

Frequently Asked Questions on GCF of 9054 and 9060

1. What is the GCF of 9054 and 9060?

Answer: GCF of 9054 and 9060 is 6.

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 9060?

Answer: Factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060. There are 24 integers that are factors of 9060. The greatest factor of 9060 is 9060.

4. How to Find the GCF of 9054 and 9060?

Answer:

Greatest Common Factor of 9054 and 9060 = 6

Step 1: Find the prime factorization of 9054

9054 = 2 x 3 x 3 x 503

Step 2: Find the prime factorization of 9060

9060 = 2 x 2 x 3 x 5 x 151

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9054 and 9060 is 6