Greatest Common Factor of 9411 and 9417

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 9411, 9417 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9411 and 9417 is 3.

GCF(9411,9417) = 3

GCF of 9411 and 9417

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

GCF of:
and

Greatest Common Factor of 9411 and 9417

GCF of 9411 and 9417 is 3

Prime Factorization of 9411


3 9411
3137 3137
1

Prime factors of 9411 are 3,3137. Prime factorization of 9411 in exponential form is:

9411 = 31×31371

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

∴ So by taking common prime factors GCF of 9411 and 9417 is 3

Greatest Common Factor of 9411 and 9417 by matching factors method

Factors of 9411

List of positive integer factors of 9411 that divides 9411 without a remainder.

1,3,3137,9411

Factors of 9417

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

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

Greatest Common Factor

We found the factors and prime factorization of 9411 and 9417. The biggest common factor number is the GCF number.
So the greatest common factor 9411 and 9417 is 3.

Also check out the Least Common Multiple of 9411 and 9417

Properties of GCF 9411 and 9417

(i) The GCF of 9411 and 9417 is associative

GCF of 9411 and 9417 = GCF of 9417 and 9411

Related Greatest Common Factor of 9411

Related Greatest Common Factor of 9417

Frequently Asked Questions on GCF of 9411 and 9417

1. What is the GCF of 9411 and 9417?

Answer: GCF of 9411 and 9417 is 3.

2. What are the Factors of 9411?

Answer: Factors of 9411 are 1, 3, 3137, 9411. There are 4 integers that are factors of 9411. The greatest factor of 9411 is 9411.

3. 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.

4. How to Find the GCF of 9411 and 9417?

Answer:

Greatest Common Factor of 9411 and 9417 = 3

Step 1: Find the prime factorization of 9411

9411 = 3 x 3137

Step 2: Find the prime factorization of 9417

9417 = 3 x 43 x 73

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 9411 and 9417 is 3