Greatest Common Factor of 9084 and 9090

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 9084, 9090 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9084 and 9090 is 6.

GCF(9084,9090) = 6

GCF of 9084 and 9090

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

GCF of:
and

Greatest Common Factor of 9084 and 9090

GCF of 9084 and 9090 is 6

Prime Factorization of 9084


2 9084
2 4542
3 2271
757 757
1

Prime factors of 9084 are 2,3,757. Prime factorization of 9084 in exponential form is:

9084 = 22×31×7571

Prime Factorization of 9090


2 9090
3 4545
3 1515
5 505
101 101
1

Prime factors of 9090 are 2,3,5,101. Prime factorization of 9090 in exponential form is:

9090 = 21×32×51×1011

∴ So by taking common prime factors GCF of 9084 and 9090 is 6

Greatest Common Factor of 9084 and 9090 by matching factors method

Factors of 9084

List of positive integer factors of 9084 that divides 9084 without a remainder.

1,2,3,4,6,12,757,1514,2271,3028,4542,9084

Factors of 9090

List of positive integer factors of 9090 that divides 9090 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,101,202,303,505,606,909,1010,1515,1818,3030,4545,9090

Greatest Common Factor

We found the factors and prime factorization of 9084 and 9090. The biggest common factor number is the GCF number.
So the greatest common factor 9084 and 9090 is 6.

Also check out the Least Common Multiple of 9084 and 9090

Properties of GCF 9084 and 9090

(i) The GCF of 9084 and 9090 is associative

GCF of 9084 and 9090 = GCF of 9090 and 9084

Related Greatest Common Factor of 9084

Related Greatest Common Factor of 9090

Frequently Asked Questions on GCF of 9084 and 9090

1. What is the GCF of 9084 and 9090?

Answer: GCF of 9084 and 9090 is 6.

2. What are the Factors of 9084?

Answer: Factors of 9084 are 1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084. There are 12 integers that are factors of 9084. The greatest factor of 9084 is 9084.

3. What are the Factors of 9090?

Answer: Factors of 9090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090. There are 24 integers that are factors of 9090. The greatest factor of 9090 is 9090.

4. How to Find the GCF of 9084 and 9090?

Answer:

Greatest Common Factor of 9084 and 9090 = 6

Step 1: Find the prime factorization of 9084

9084 = 2 x 2 x 3 x 757

Step 2: Find the prime factorization of 9090

9090 = 2 x 3 x 3 x 5 x 101

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 9084 and 9090 is 6