Greatest Common Factor of 9351 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 9351, 9354 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9351 and 9354 is 3.

GCF(9351,9354) = 3

GCF of 9351 and 9354

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

GCF of:
and

Greatest Common Factor of 9351 and 9354

GCF of 9351 and 9354 is 3

Prime Factorization of 9351


3 9351
3 3117
1039 1039
1

Prime factors of 9351 are 3,1039. Prime factorization of 9351 in exponential form is:

9351 = 32×10391

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 9351 and 9354 is 3

Greatest Common Factor of 9351 and 9354 by matching factors method

Factors of 9351

List of positive integer factors of 9351 that divides 9351 without a remainder.

1,3,9,1039,3117,9351

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 9351 and 9354. The biggest common factor number is the GCF number.
So the greatest common factor 9351 and 9354 is 3.

Also check out the Least Common Multiple of 9351 and 9354

Properties of GCF 9351 and 9354

(i) The GCF of 9351 and 9354 is associative

GCF of 9351 and 9354 = GCF of 9354 and 9351

Related Greatest Common Factor of 9351

Related Greatest Common Factor of 9354

Frequently Asked Questions on GCF of 9351 and 9354

1. What is the GCF of 9351 and 9354?

Answer: GCF of 9351 and 9354 is 3.

2. What are the Factors of 9351?

Answer: Factors of 9351 are 1, 3, 9, 1039, 3117, 9351. There are 6 integers that are factors of 9351. The greatest factor of 9351 is 9351.

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 9351 and 9354?

Answer:

Greatest Common Factor of 9351 and 9354 = 3

Step 1: Find the prime factorization of 9351

9351 = 3 x 3 x 1039

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 = 3

Step 4: Therefore, the greatest common factor of 9351 and 9354 is 3