Greatest Common Factor of 9495 and 9501

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, 9501 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9495 and 9501 is 3.

GCF(9495,9501) = 3

GCF of 9495 and 9501

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

GCF of:
and

Greatest Common Factor of 9495 and 9501

GCF of 9495 and 9501 is 3

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 9501


3 9501
3167 3167
1

Prime factors of 9501 are 3,3167. Prime factorization of 9501 in exponential form is:

9501 = 31×31671

∴ So by taking common prime factors GCF of 9495 and 9501 is 3

Greatest Common Factor of 9495 and 9501 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 9501

List of positive integer factors of 9501 that divides 9501 without a remainder.

1,3,3167,9501

Greatest Common Factor

We found the factors and prime factorization of 9495 and 9501. The biggest common factor number is the GCF number.
So the greatest common factor 9495 and 9501 is 3.

Also check out the Least Common Multiple of 9495 and 9501

Properties of GCF 9495 and 9501

(i) The GCF of 9495 and 9501 is associative

GCF of 9495 and 9501 = GCF of 9501 and 9495

Related Greatest Common Factor of 9495

Related Greatest Common Factor of 9501

Frequently Asked Questions on GCF of 9495 and 9501

1. What is the GCF of 9495 and 9501?

Answer: GCF of 9495 and 9501 is 3.

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 9501?

Answer: Factors of 9501 are 1, 3, 3167, 9501. There are 4 integers that are factors of 9501. The greatest factor of 9501 is 9501.

4. How to Find the GCF of 9495 and 9501?

Answer:

Greatest Common Factor of 9495 and 9501 = 3

Step 1: Find the prime factorization of 9495

9495 = 3 x 3 x 5 x 211

Step 2: Find the prime factorization of 9501

9501 = 3 x 3167

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9495 and 9501 is 3