Greatest Common Factor of 9495 and 9500

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 9495, 9500 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9495 and 9500 is 5.

GCF(9495,9500) = 5

GCF of 9495 and 9500

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

GCF of:
and

Greatest Common Factor of 9495 and 9500

GCF of 9495 and 9500 is 5

Prime Factorization of 9495


3 9495
3 3165
5 1055
211 211
1

Prime factors of 9495 are 3,5,211. Prime factorization of 9495 in exponential form is:

9495 = 32×51×2111

Prime Factorization of 9500


2 9500
2 4750
5 2375
5 475
5 95
19 19
1

Prime factors of 9500 are 2,5,19. Prime factorization of 9500 in exponential form is:

9500 = 22×53×191

∴ So by taking common prime factors GCF of 9495 and 9500 is 5

Greatest Common Factor of 9495 and 9500 by matching factors method

Factors of 9495

List of positive integer factors of 9495 that divides 9495 without a remainder.

1,3,5,9,15,45,211,633,1055,1899,3165,9495

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500

Greatest Common Factor

We found the factors and prime factorization of 9495 and 9500. The biggest common factor number is the GCF number.
So the greatest common factor 9495 and 9500 is 5.

Also check out the Least Common Multiple of 9495 and 9500

Properties of GCF 9495 and 9500

(i) The GCF of 9495 and 9500 is associative

GCF of 9495 and 9500 = GCF of 9500 and 9495

Related Greatest Common Factor of 9495

Related Greatest Common Factor of 9500

Frequently Asked Questions on GCF of 9495 and 9500

1. What is the GCF of 9495 and 9500?

Answer: GCF of 9495 and 9500 is 5.

2. What are the Factors of 9495?

Answer: Factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495. There are 12 integers that are factors of 9495. The greatest factor of 9495 is 9495.

3. What are the Factors of 9500?

Answer: Factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500. There are 24 integers that are factors of 9500. The greatest factor of 9500 is 9500.

4. How to Find the GCF of 9495 and 9500?

Answer:

Greatest Common Factor of 9495 and 9500 = 5

Step 1: Find the prime factorization of 9495

9495 = 3 x 3 x 5 x 211

Step 2: Find the prime factorization of 9500

9500 = 2 x 2 x 5 x 5 x 5 x 19

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 9495 and 9500 is 5