Greatest Common Factor of 9078 and 9086

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, 9086 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9078 and 9086 is 2.

GCF(9078,9086) = 2

GCF of 9078 and 9086

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

GCF of:
and

Greatest Common Factor of 9078 and 9086

GCF of 9078 and 9086 is 2

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 9086


2 9086
7 4543
11 649
59 59
1

Prime factors of 9086 are 2,7,11,59. Prime factorization of 9086 in exponential form is:

9086 = 21×71×111×591

∴ So by taking common prime factors GCF of 9078 and 9086 is 2

Greatest Common Factor of 9078 and 9086 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 9086

List of positive integer factors of 9086 that divides 9086 without a remainder.

1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086

Greatest Common Factor

We found the factors and prime factorization of 9078 and 9086. The biggest common factor number is the GCF number.
So the greatest common factor 9078 and 9086 is 2.

Also check out the Least Common Multiple of 9078 and 9086

Properties of GCF 9078 and 9086

(i) The GCF of 9078 and 9086 is associative

GCF of 9078 and 9086 = GCF of 9086 and 9078

Related Greatest Common Factor of 9078

Related Greatest Common Factor of 9086

Frequently Asked Questions on GCF of 9078 and 9086

1. What is the GCF of 9078 and 9086?

Answer: GCF of 9078 and 9086 is 2.

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 9086?

Answer: Factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086. There are 16 integers that are factors of 9086. The greatest factor of 9086 is 9086.

4. How to Find the GCF of 9078 and 9086?

Answer:

Greatest Common Factor of 9078 and 9086 = 2

Step 1: Find the prime factorization of 9078

9078 = 2 x 3 x 17 x 89

Step 2: Find the prime factorization of 9086

9086 = 2 x 7 x 11 x 59

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9078 and 9086 is 2