Greatest Common Factor of 9350 and 9355

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 9350, 9355 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9350 and 9355 is 5.

GCF(9350,9355) = 5

GCF of 9350 and 9355

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

GCF of:
and

Greatest Common Factor of 9350 and 9355

GCF of 9350 and 9355 is 5

Prime Factorization of 9350


2 9350
5 4675
5 935
11 187
17 17
1

Prime factors of 9350 are 2,5,11,17. Prime factorization of 9350 in exponential form is:

9350 = 21×52×111×171

Prime Factorization of 9355


5 9355
1871 1871
1

Prime factors of 9355 are 5,1871. Prime factorization of 9355 in exponential form is:

9355 = 51×18711

∴ So by taking common prime factors GCF of 9350 and 9355 is 5

Greatest Common Factor of 9350 and 9355 by matching factors method

Factors of 9350

List of positive integer factors of 9350 that divides 9350 without a remainder.

1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350

Factors of 9355

List of positive integer factors of 9355 that divides 9355 without a remainder.

1,5,1871,9355

Greatest Common Factor

We found the factors and prime factorization of 9350 and 9355. The biggest common factor number is the GCF number.
So the greatest common factor 9350 and 9355 is 5.

Also check out the Least Common Multiple of 9350 and 9355

Properties of GCF 9350 and 9355

(i) The GCF of 9350 and 9355 is associative

GCF of 9350 and 9355 = GCF of 9355 and 9350

Related Greatest Common Factor of 9350

Related Greatest Common Factor of 9355

Frequently Asked Questions on GCF of 9350 and 9355

1. What is the GCF of 9350 and 9355?

Answer: GCF of 9350 and 9355 is 5.

2. What are the Factors of 9350?

Answer: Factors of 9350 are 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350. There are 24 integers that are factors of 9350. The greatest factor of 9350 is 9350.

3. What are the Factors of 9355?

Answer: Factors of 9355 are 1, 5, 1871, 9355. There are 4 integers that are factors of 9355. The greatest factor of 9355 is 9355.

4. How to Find the GCF of 9350 and 9355?

Answer:

Greatest Common Factor of 9350 and 9355 = 5

Step 1: Find the prime factorization of 9350

9350 = 2 x 5 x 5 x 11 x 17

Step 2: Find the prime factorization of 9355

9355 = 5 x 1871

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 9350 and 9355 is 5