Greatest Common Factor of 9086 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 9086, 9090 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9086 and 9090 is 2.

GCF(9086,9090) = 2

GCF of 9086 and 9090

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

GCF of:
and

Greatest Common Factor of 9086 and 9090

GCF of 9086 and 9090 is 2

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

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 9086 and 9090 is 2

Greatest Common Factor of 9086 and 9090 by matching factors method

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

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 9086 and 9090. The biggest common factor number is the GCF number.
So the greatest common factor 9086 and 9090 is 2.

Also check out the Least Common Multiple of 9086 and 9090

Properties of GCF 9086 and 9090

(i) The GCF of 9086 and 9090 is associative

GCF of 9086 and 9090 = GCF of 9090 and 9086

Related Greatest Common Factor of 9086

Related Greatest Common Factor of 9090

Frequently Asked Questions on GCF of 9086 and 9090

1. What is the GCF of 9086 and 9090?

Answer: GCF of 9086 and 9090 is 2.

2. 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.

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 9086 and 9090?

Answer:

Greatest Common Factor of 9086 and 9090 = 2

Step 1: Find the prime factorization of 9086

9086 = 2 x 7 x 11 x 59

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

Step 4: Therefore, the greatest common factor of 9086 and 9090 is 2