Greatest Common Factor of 9407 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 9407, 9414 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9407 and 9414 is 1.

GCF(9407,9414) = 1

GCF of 9407 and 9414

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

GCF of:
and

Greatest Common Factor of 9407 and 9414

GCF of 9407 and 9414 is 1

Prime Factorization of 9407


23 9407
409 409
1

Prime factors of 9407 are 23,409. Prime factorization of 9407 in exponential form is:

9407 = 231×4091

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 9407 and 9414 is 1

Greatest Common Factor of 9407 and 9414 by matching factors method

Factors of 9407

List of positive integer factors of 9407 that divides 9407 without a remainder.

1,23,409,9407

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 9407 and 9414. The biggest common factor number is the GCF number.
So the greatest common factor 9407 and 9414 is 1.

Also check out the Least Common Multiple of 9407 and 9414

Properties of GCF 9407 and 9414

(i) The GCF of 9407 and 9414 is associative

GCF of 9407 and 9414 = GCF of 9414 and 9407

Related Greatest Common Factor of 9407

Related Greatest Common Factor of 9414

Frequently Asked Questions on GCF of 9407 and 9414

1. What is the GCF of 9407 and 9414?

Answer: GCF of 9407 and 9414 is 1.

2. What are the Factors of 9407?

Answer: Factors of 9407 are 1, 23, 409, 9407. There are 4 integers that are factors of 9407. The greatest factor of 9407 is 9407.

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 9407 and 9414?

Answer:

Greatest Common Factor of 9407 and 9414 = 1

Step 1: Find the prime factorization of 9407

9407 = 23 x 409

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 = = 1

Step 4: Therefore, the greatest common factor of 9407 and 9414 is 1