Greatest Common Factor of 9350 and 9354

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, 9354 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9350 and 9354 is 2.

GCF(9350,9354) = 2

GCF of 9350 and 9354

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

GCF of:
and

Greatest Common Factor of 9350 and 9354

GCF of 9350 and 9354 is 2

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 9354


2 9354
3 4677
1559 1559
1

Prime factors of 9354 are 2,3,1559. Prime factorization of 9354 in exponential form is:

9354 = 21×31×15591

∴ So by taking common prime factors GCF of 9350 and 9354 is 2

Greatest Common Factor of 9350 and 9354 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 9354

List of positive integer factors of 9354 that divides 9354 without a remainder.

1,2,3,6,1559,3118,4677,9354

Greatest Common Factor

We found the factors and prime factorization of 9350 and 9354. The biggest common factor number is the GCF number.
So the greatest common factor 9350 and 9354 is 2.

Also check out the Least Common Multiple of 9350 and 9354

Properties of GCF 9350 and 9354

(i) The GCF of 9350 and 9354 is associative

GCF of 9350 and 9354 = GCF of 9354 and 9350

Related Greatest Common Factor of 9350

Related Greatest Common Factor of 9354

Frequently Asked Questions on GCF of 9350 and 9354

1. What is the GCF of 9350 and 9354?

Answer: GCF of 9350 and 9354 is 2.

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 9354?

Answer: Factors of 9354 are 1, 2, 3, 6, 1559, 3118, 4677, 9354. There are 8 integers that are factors of 9354. The greatest factor of 9354 is 9354.

4. How to Find the GCF of 9350 and 9354?

Answer:

Greatest Common Factor of 9350 and 9354 = 2

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 9354

9354 = 2 x 3 x 1559

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9350 and 9354 is 2