Greatest Common Factor of 13466 and 13470

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 13466, 13470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13466 and 13470 is 2.

GCF(13466,13470) = 2

GCF of 13466 and 13470

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

GCF of:
and

Greatest Common Factor of 13466 and 13470

GCF of 13466 and 13470 is 2

Prime Factorization of 13466


2 13466
6733 6733
1

Prime factors of 13466 are 2,6733. Prime factorization of 13466 in exponential form is:

13466 = 21×67331

Prime Factorization of 13470


2 13470
3 6735
5 2245
449 449
1

Prime factors of 13470 are 2,3,5,449. Prime factorization of 13470 in exponential form is:

13470 = 21×31×51×4491

∴ So by taking common prime factors GCF of 13466 and 13470 is 2

Greatest Common Factor of 13466 and 13470 by matching factors method

Factors of 13466

List of positive integer factors of 13466 that divides 13466 without a remainder.

1,2,6733,13466

Factors of 13470

List of positive integer factors of 13470 that divides 13470 without a remainder.

1,2,3,5,6,10,15,30,449,898,1347,2245,2694,4490,6735,13470

Greatest Common Factor

We found the factors and prime factorization of 13466 and 13470. The biggest common factor number is the GCF number.
So the greatest common factor 13466 and 13470 is 2.

Also check out the Least Common Multiple of 13466 and 13470

Properties of GCF 13466 and 13470

(i) The GCF of 13466 and 13470 is associative

GCF of 13466 and 13470 = GCF of 13470 and 13466

Related Greatest Common Factor of 13466

Related Greatest Common Factor of 13470

Frequently Asked Questions on GCF of 13466 and 13470

1. What is the GCF of 13466 and 13470?

Answer: GCF of 13466 and 13470 is 2.

2. What are the Factors of 13466?

Answer: Factors of 13466 are 1, 2, 6733, 13466. There are 4 integers that are factors of 13466. The greatest factor of 13466 is 13466.

3. What are the Factors of 13470?

Answer: Factors of 13470 are 1, 2, 3, 5, 6, 10, 15, 30, 449, 898, 1347, 2245, 2694, 4490, 6735, 13470. There are 16 integers that are factors of 13470. The greatest factor of 13470 is 13470.

4. How to Find the GCF of 13466 and 13470?

Answer:

Greatest Common Factor of 13466 and 13470 = 2

Step 1: Find the prime factorization of 13466

13466 = 2 x 6733

Step 2: Find the prime factorization of 13470

13470 = 2 x 3 x 5 x 449

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 13466 and 13470 is 2