Greatest Common Factor of 9505 and 9510

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 9505, 9510 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9505 and 9510 is 5.

GCF(9505,9510) = 5

GCF of 9505 and 9510

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

GCF of:
and

Greatest Common Factor of 9505 and 9510

GCF of 9505 and 9510 is 5

Prime Factorization of 9505


5 9505
1901 1901
1

Prime factors of 9505 are 5,1901. Prime factorization of 9505 in exponential form is:

9505 = 51×19011

Prime Factorization of 9510


2 9510
3 4755
5 1585
317 317
1

Prime factors of 9510 are 2,3,5,317. Prime factorization of 9510 in exponential form is:

9510 = 21×31×51×3171

∴ So by taking common prime factors GCF of 9505 and 9510 is 5

Greatest Common Factor of 9505 and 9510 by matching factors method

Factors of 9505

List of positive integer factors of 9505 that divides 9505 without a remainder.

1,5,1901,9505

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510

Greatest Common Factor

We found the factors and prime factorization of 9505 and 9510. The biggest common factor number is the GCF number.
So the greatest common factor 9505 and 9510 is 5.

Also check out the Least Common Multiple of 9505 and 9510

Properties of GCF 9505 and 9510

(i) The GCF of 9505 and 9510 is associative

GCF of 9505 and 9510 = GCF of 9510 and 9505

Related Greatest Common Factor of 9505

Related Greatest Common Factor of 9510

Frequently Asked Questions on GCF of 9505 and 9510

1. What is the GCF of 9505 and 9510?

Answer: GCF of 9505 and 9510 is 5.

2. What are the Factors of 9505?

Answer: Factors of 9505 are 1, 5, 1901, 9505. There are 4 integers that are factors of 9505. The greatest factor of 9505 is 9505.

3. What are the Factors of 9510?

Answer: Factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510. There are 16 integers that are factors of 9510. The greatest factor of 9510 is 9510.

4. How to Find the GCF of 9505 and 9510?

Answer:

Greatest Common Factor of 9505 and 9510 = 5

Step 1: Find the prime factorization of 9505

9505 = 5 x 1901

Step 2: Find the prime factorization of 9510

9510 = 2 x 3 x 5 x 317

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 9505 and 9510 is 5