Greatest Common Factor of 9090 and 9095

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 9090, 9095 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9090 and 9095 is 5.

GCF(9090,9095) = 5

GCF of 9090 and 9095

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

GCF of:
and

Greatest Common Factor of 9090 and 9095

GCF of 9090 and 9095 is 5

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

Prime Factorization of 9095


5 9095
17 1819
107 107
1

Prime factors of 9095 are 5,17,107. Prime factorization of 9095 in exponential form is:

9095 = 51×171×1071

∴ So by taking common prime factors GCF of 9090 and 9095 is 5

Greatest Common Factor of 9090 and 9095 by matching factors method

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

Factors of 9095

List of positive integer factors of 9095 that divides 9095 without a remainder.

1,5,17,85,107,535,1819,9095

Greatest Common Factor

We found the factors and prime factorization of 9090 and 9095. The biggest common factor number is the GCF number.
So the greatest common factor 9090 and 9095 is 5.

Also check out the Least Common Multiple of 9090 and 9095

Properties of GCF 9090 and 9095

(i) The GCF of 9090 and 9095 is associative

GCF of 9090 and 9095 = GCF of 9095 and 9090

Related Greatest Common Factor of 9090

Related Greatest Common Factor of 9095

Frequently Asked Questions on GCF of 9090 and 9095

1. What is the GCF of 9090 and 9095?

Answer: GCF of 9090 and 9095 is 5.

2. 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.

3. What are the Factors of 9095?

Answer: Factors of 9095 are 1, 5, 17, 85, 107, 535, 1819, 9095. There are 8 integers that are factors of 9095. The greatest factor of 9095 is 9095.

4. How to Find the GCF of 9090 and 9095?

Answer:

Greatest Common Factor of 9090 and 9095 = 5

Step 1: Find the prime factorization of 9090

9090 = 2 x 3 x 3 x 5 x 101

Step 2: Find the prime factorization of 9095

9095 = 5 x 17 x 107

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9090 and 9095 is 5