Greatest Common Factor of 9466 and 9470

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 9466, 9470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9466 and 9470 is 2.

GCF(9466,9470) = 2

GCF of 9466 and 9470

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

GCF of:
and

Greatest Common Factor of 9466 and 9470

GCF of 9466 and 9470 is 2

Prime Factorization of 9466


2 9466
4733 4733
1

Prime factors of 9466 are 2,4733. Prime factorization of 9466 in exponential form is:

9466 = 21×47331

Prime Factorization of 9470


2 9470
5 4735
947 947
1

Prime factors of 9470 are 2,5,947. Prime factorization of 9470 in exponential form is:

9470 = 21×51×9471

∴ So by taking common prime factors GCF of 9466 and 9470 is 2

Greatest Common Factor of 9466 and 9470 by matching factors method

Factors of 9466

List of positive integer factors of 9466 that divides 9466 without a remainder.

1,2,4733,9466

Factors of 9470

List of positive integer factors of 9470 that divides 9470 without a remainder.

1,2,5,10,947,1894,4735,9470

Greatest Common Factor

We found the factors and prime factorization of 9466 and 9470. The biggest common factor number is the GCF number.
So the greatest common factor 9466 and 9470 is 2.

Also check out the Least Common Multiple of 9466 and 9470

Properties of GCF 9466 and 9470

(i) The GCF of 9466 and 9470 is associative

GCF of 9466 and 9470 = GCF of 9470 and 9466

Related Greatest Common Factor of 9466

Related Greatest Common Factor of 9470

Frequently Asked Questions on GCF of 9466 and 9470

1. What is the GCF of 9466 and 9470?

Answer: GCF of 9466 and 9470 is 2.

2. What are the Factors of 9466?

Answer: Factors of 9466 are 1, 2, 4733, 9466. There are 4 integers that are factors of 9466. The greatest factor of 9466 is 9466.

3. What are the Factors of 9470?

Answer: Factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470. There are 8 integers that are factors of 9470. The greatest factor of 9470 is 9470.

4. How to Find the GCF of 9466 and 9470?

Answer:

Greatest Common Factor of 9466 and 9470 = 2

Step 1: Find the prime factorization of 9466

9466 = 2 x 4733

Step 2: Find the prime factorization of 9470

9470 = 2 x 5 x 947

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 9466 and 9470 is 2