Greatest Common Factor of 9078 and 9084

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 9078, 9084 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9078 and 9084 is 6.

GCF(9078,9084) = 6

GCF of 9078 and 9084

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

GCF of:
and

Greatest Common Factor of 9078 and 9084

GCF of 9078 and 9084 is 6

Prime Factorization of 9078


2 9078
3 4539
17 1513
89 89
1

Prime factors of 9078 are 2,3,17,89. Prime factorization of 9078 in exponential form is:

9078 = 21×31×171×891

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

∴ So by taking common prime factors GCF of 9078 and 9084 is 6

Greatest Common Factor of 9078 and 9084 by matching factors method

Factors of 9078

List of positive integer factors of 9078 that divides 9078 without a remainder.

1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078

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

Greatest Common Factor

We found the factors and prime factorization of 9078 and 9084. The biggest common factor number is the GCF number.
So the greatest common factor 9078 and 9084 is 6.

Also check out the Least Common Multiple of 9078 and 9084

Properties of GCF 9078 and 9084

(i) The GCF of 9078 and 9084 is associative

GCF of 9078 and 9084 = GCF of 9084 and 9078

Related Greatest Common Factor of 9078

Related Greatest Common Factor of 9084

Frequently Asked Questions on GCF of 9078 and 9084

1. What is the GCF of 9078 and 9084?

Answer: GCF of 9078 and 9084 is 6.

2. What are the Factors of 9078?

Answer: Factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078. There are 16 integers that are factors of 9078. The greatest factor of 9078 is 9078.

3. 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.

4. How to Find the GCF of 9078 and 9084?

Answer:

Greatest Common Factor of 9078 and 9084 = 6

Step 1: Find the prime factorization of 9078

9078 = 2 x 3 x 17 x 89

Step 2: Find the prime factorization of 9084

9084 = 2 x 2 x 3 x 757

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 9078 and 9084 is 6