Greatest Common Factor of 9464 and 9466

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 9464, 9466 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9464 and 9466 is 2.

GCF(9464,9466) = 2

GCF of 9464 and 9466

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

GCF of:
and

Greatest Common Factor of 9464 and 9466

GCF of 9464 and 9466 is 2

Prime Factorization of 9464


2 9464
2 4732
2 2366
7 1183
13 169
13 13
1

Prime factors of 9464 are 2,7,13. Prime factorization of 9464 in exponential form is:

9464 = 23×71×132

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

∴ So by taking common prime factors GCF of 9464 and 9466 is 2

Greatest Common Factor of 9464 and 9466 by matching factors method

Factors of 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464

Factors of 9466

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

1,2,4733,9466

Greatest Common Factor

We found the factors and prime factorization of 9464 and 9466. The biggest common factor number is the GCF number.
So the greatest common factor 9464 and 9466 is 2.

Also check out the Least Common Multiple of 9464 and 9466

Properties of GCF 9464 and 9466

(i) The GCF of 9464 and 9466 is associative

GCF of 9464 and 9466 = GCF of 9466 and 9464

Related Greatest Common Factor of 9464

Related Greatest Common Factor of 9466

Frequently Asked Questions on GCF of 9464 and 9466

1. What is the GCF of 9464 and 9466?

Answer: GCF of 9464 and 9466 is 2.

2. What are the Factors of 9464?

Answer: Factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464. There are 24 integers that are factors of 9464. The greatest factor of 9464 is 9464.

3. 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.

4. How to Find the GCF of 9464 and 9466?

Answer:

Greatest Common Factor of 9464 and 9466 = 2

Step 1: Find the prime factorization of 9464

9464 = 2 x 2 x 2 x 7 x 13 x 13

Step 2: Find the prime factorization of 9466

9466 = 2 x 4733

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 9464 and 9466 is 2