Greatest Common Factor of 9510 and 9515

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 9510, 9515 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9510 and 9515 is 5.

GCF(9510,9515) = 5

GCF of 9510 and 9515

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

GCF of:
and

Greatest Common Factor of 9510 and 9515

GCF of 9510 and 9515 is 5

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

Prime Factorization of 9515


5 9515
11 1903
173 173
1

Prime factors of 9515 are 5,11,173. Prime factorization of 9515 in exponential form is:

9515 = 51×111×1731

∴ So by taking common prime factors GCF of 9510 and 9515 is 5

Greatest Common Factor of 9510 and 9515 by matching factors method

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

Factors of 9515

List of positive integer factors of 9515 that divides 9515 without a remainder.

1,5,11,55,173,865,1903,9515

Greatest Common Factor

We found the factors and prime factorization of 9510 and 9515. The biggest common factor number is the GCF number.
So the greatest common factor 9510 and 9515 is 5.

Also check out the Least Common Multiple of 9510 and 9515

Properties of GCF 9510 and 9515

(i) The GCF of 9510 and 9515 is associative

GCF of 9510 and 9515 = GCF of 9515 and 9510

Related Greatest Common Factor of 9510

Related Greatest Common Factor of 9515

Frequently Asked Questions on GCF of 9510 and 9515

1. What is the GCF of 9510 and 9515?

Answer: GCF of 9510 and 9515 is 5.

2. 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.

3. What are the Factors of 9515?

Answer: Factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515. There are 8 integers that are factors of 9515. The greatest factor of 9515 is 9515.

4. How to Find the GCF of 9510 and 9515?

Answer:

Greatest Common Factor of 9510 and 9515 = 5

Step 1: Find the prime factorization of 9510

9510 = 2 x 3 x 5 x 317

Step 2: Find the prime factorization of 9515

9515 = 5 x 11 x 173

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 9510 and 9515 is 5