Greatest Common Factor of 3466 and 3474

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 3466, 3474 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3466 and 3474 is 2.

GCF(3466,3474) = 2

GCF of 3466 and 3474

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

GCF of:
and

Greatest Common Factor of 3466 and 3474

GCF of 3466 and 3474 is 2

Prime Factorization of 3466


2 3466
1733 1733
1

Prime factors of 3466 are 2,1733. Prime factorization of 3466 in exponential form is:

3466 = 21×17331

Prime Factorization of 3474


2 3474
3 1737
3 579
193 193
1

Prime factors of 3474 are 2,3,193. Prime factorization of 3474 in exponential form is:

3474 = 21×32×1931

∴ So by taking common prime factors GCF of 3466 and 3474 is 2

Greatest Common Factor of 3466 and 3474 by matching factors method

Factors of 3466

List of positive integer factors of 3466 that divides 3466 without a remainder.

1,2,1733,3466

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Greatest Common Factor

We found the factors and prime factorization of 3466 and 3474. The biggest common factor number is the GCF number.
So the greatest common factor 3466 and 3474 is 2.

Also check out the Least Common Multiple of 3466 and 3474

Properties of GCF 3466 and 3474

(i) The GCF of 3466 and 3474 is associative

GCF of 3466 and 3474 = GCF of 3474 and 3466

Related Greatest Common Factor of 3466

Related Greatest Common Factor of 3474

Frequently Asked Questions on GCF of 3466 and 3474

1. What is the GCF of 3466 and 3474?

Answer: GCF of 3466 and 3474 is 2.

2. What are the Factors of 3466?

Answer: Factors of 3466 are 1, 2, 1733, 3466. There are 4 integers that are factors of 3466. The greatest factor of 3466 is 3466.

3. What are the Factors of 3474?

Answer: Factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474. There are 12 integers that are factors of 3474. The greatest factor of 3474 is 3474.

4. How to Find the GCF of 3466 and 3474?

Answer:

Greatest Common Factor of 3466 and 3474 = 2

Step 1: Find the prime factorization of 3466

3466 = 2 x 1733

Step 2: Find the prime factorization of 3474

3474 = 2 x 3 x 3 x 193

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 3466 and 3474 is 2