Greatest Common Factor of 9414 and 9418

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 9414, 9418 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9414 and 9418 is 2.

GCF(9414,9418) = 2

GCF of 9414 and 9418

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

GCF of:
and

Greatest Common Factor of 9414 and 9418

GCF of 9414 and 9418 is 2

Prime Factorization of 9414


2 9414
3 4707
3 1569
523 523
1

Prime factors of 9414 are 2,3,523. Prime factorization of 9414 in exponential form is:

9414 = 21×32×5231

Prime Factorization of 9418


2 9418
17 4709
277 277
1

Prime factors of 9418 are 2,17,277. Prime factorization of 9418 in exponential form is:

9418 = 21×171×2771

∴ So by taking common prime factors GCF of 9414 and 9418 is 2

Greatest Common Factor of 9414 and 9418 by matching factors method

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1,2,3,6,9,18,523,1046,1569,3138,4707,9414

Factors of 9418

List of positive integer factors of 9418 that divides 9418 without a remainder.

1,2,17,34,277,554,4709,9418

Greatest Common Factor

We found the factors and prime factorization of 9414 and 9418. The biggest common factor number is the GCF number.
So the greatest common factor 9414 and 9418 is 2.

Also check out the Least Common Multiple of 9414 and 9418

Properties of GCF 9414 and 9418

(i) The GCF of 9414 and 9418 is associative

GCF of 9414 and 9418 = GCF of 9418 and 9414

Related Greatest Common Factor of 9414

Related Greatest Common Factor of 9418

Frequently Asked Questions on GCF of 9414 and 9418

1. What is the GCF of 9414 and 9418?

Answer: GCF of 9414 and 9418 is 2.

2. What are the Factors of 9414?

Answer: Factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414. There are 12 integers that are factors of 9414. The greatest factor of 9414 is 9414.

3. What are the Factors of 9418?

Answer: Factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418. There are 8 integers that are factors of 9418. The greatest factor of 9418 is 9418.

4. How to Find the GCF of 9414 and 9418?

Answer:

Greatest Common Factor of 9414 and 9418 = 2

Step 1: Find the prime factorization of 9414

9414 = 2 x 3 x 3 x 523

Step 2: Find the prime factorization of 9418

9418 = 2 x 17 x 277

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 9414 and 9418 is 2