Greatest Common Factor of 9400 and 9407

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 9400, 9407 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9400 and 9407 is 1.

GCF(9400,9407) = 1

GCF of 9400 and 9407

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

GCF of:
and

Greatest Common Factor of 9400 and 9407

GCF of 9400 and 9407 is 1

Prime Factorization of 9400


2 9400
2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 9400 are 2,5,47. Prime factorization of 9400 in exponential form is:

9400 = 23×52×471

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

∴ So by taking common prime factors GCF of 9400 and 9407 is 1

Greatest Common Factor of 9400 and 9407 by matching factors method

Factors of 9400

List of positive integer factors of 9400 that divides 9400 without a remainder.

1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400

Factors of 9407

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

1,23,409,9407

Greatest Common Factor

We found the factors and prime factorization of 9400 and 9407. The biggest common factor number is the GCF number.
So the greatest common factor 9400 and 9407 is 1.

Also check out the Least Common Multiple of 9400 and 9407

Properties of GCF 9400 and 9407

(i) The GCF of 9400 and 9407 is associative

GCF of 9400 and 9407 = GCF of 9407 and 9400

Related Greatest Common Factor of 9400

Related Greatest Common Factor of 9407

Frequently Asked Questions on GCF of 9400 and 9407

1. What is the GCF of 9400 and 9407?

Answer: GCF of 9400 and 9407 is 1.

2. What are the Factors of 9400?

Answer: Factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400. There are 24 integers that are factors of 9400. The greatest factor of 9400 is 9400.

3. 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.

4. How to Find the GCF of 9400 and 9407?

Answer:

Greatest Common Factor of 9400 and 9407 = 1

Step 1: Find the prime factorization of 9400

9400 = 2 x 2 x 2 x 5 x 5 x 47

Step 2: Find the prime factorization of 9407

9407 = 23 x 409

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 9400 and 9407 is 1