Greatest Common Factor of 9406 and 9414

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 9406, 9414 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9406 and 9414 is 2.

GCF(9406,9414) = 2

GCF of 9406 and 9414

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

GCF of:
and

Greatest Common Factor of 9406 and 9414

GCF of 9406 and 9414 is 2

Prime Factorization of 9406


2 9406
4703 4703
1

Prime factors of 9406 are 2,4703. Prime factorization of 9406 in exponential form is:

9406 = 21×47031

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

∴ So by taking common prime factors GCF of 9406 and 9414 is 2

Greatest Common Factor of 9406 and 9414 by matching factors method

Factors of 9406

List of positive integer factors of 9406 that divides 9406 without a remainder.

1,2,4703,9406

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

Greatest Common Factor

We found the factors and prime factorization of 9406 and 9414. The biggest common factor number is the GCF number.
So the greatest common factor 9406 and 9414 is 2.

Also check out the Least Common Multiple of 9406 and 9414

Properties of GCF 9406 and 9414

(i) The GCF of 9406 and 9414 is associative

GCF of 9406 and 9414 = GCF of 9414 and 9406

Related Greatest Common Factor of 9406

Related Greatest Common Factor of 9414

Frequently Asked Questions on GCF of 9406 and 9414

1. What is the GCF of 9406 and 9414?

Answer: GCF of 9406 and 9414 is 2.

2. What are the Factors of 9406?

Answer: Factors of 9406 are 1, 2, 4703, 9406. There are 4 integers that are factors of 9406. The greatest factor of 9406 is 9406.

3. 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.

4. How to Find the GCF of 9406 and 9414?

Answer:

Greatest Common Factor of 9406 and 9414 = 2

Step 1: Find the prime factorization of 9406

9406 = 2 x 4703

Step 2: Find the prime factorization of 9414

9414 = 2 x 3 x 3 x 523

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 9406 and 9414 is 2