Greatest Common Factor of 9417 and 9423

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 9417, 9423 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9417 and 9423 is 3.

GCF(9417,9423) = 3

GCF of 9417 and 9423

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

GCF of:
and

Greatest Common Factor of 9417 and 9423

GCF of 9417 and 9423 is 3

Prime Factorization of 9417


3 9417
43 3139
73 73
1

Prime factors of 9417 are 3,43,73. Prime factorization of 9417 in exponential form is:

9417 = 31×431×731

Prime Factorization of 9423


3 9423
3 3141
3 1047
349 349
1

Prime factors of 9423 are 3,349. Prime factorization of 9423 in exponential form is:

9423 = 33×3491

∴ So by taking common prime factors GCF of 9417 and 9423 is 3

Greatest Common Factor of 9417 and 9423 by matching factors method

Factors of 9417

List of positive integer factors of 9417 that divides 9417 without a remainder.

1,3,43,73,129,219,3139,9417

Factors of 9423

List of positive integer factors of 9423 that divides 9423 without a remainder.

1,3,9,27,349,1047,3141,9423

Greatest Common Factor

We found the factors and prime factorization of 9417 and 9423. The biggest common factor number is the GCF number.
So the greatest common factor 9417 and 9423 is 3.

Also check out the Least Common Multiple of 9417 and 9423

Properties of GCF 9417 and 9423

(i) The GCF of 9417 and 9423 is associative

GCF of 9417 and 9423 = GCF of 9423 and 9417

Related Greatest Common Factor of 9417

Related Greatest Common Factor of 9423

Frequently Asked Questions on GCF of 9417 and 9423

1. What is the GCF of 9417 and 9423?

Answer: GCF of 9417 and 9423 is 3.

2. What are the Factors of 9417?

Answer: Factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417. There are 8 integers that are factors of 9417. The greatest factor of 9417 is 9417.

3. What are the Factors of 9423?

Answer: Factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423. There are 8 integers that are factors of 9423. The greatest factor of 9423 is 9423.

4. How to Find the GCF of 9417 and 9423?

Answer:

Greatest Common Factor of 9417 and 9423 = 3

Step 1: Find the prime factorization of 9417

9417 = 3 x 43 x 73

Step 2: Find the prime factorization of 9423

9423 = 3 x 3 x 3 x 349

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 9417 and 9423 is 3