Greatest Common Factor of 3466 and 3468

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, 3468 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3466 and 3468 is 2.

GCF(3466,3468) = 2

GCF of 3466 and 3468

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

GCF of:
and

Greatest Common Factor of 3466 and 3468

GCF of 3466 and 3468 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 3468


2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 3468 are 2,3,17. Prime factorization of 3468 in exponential form is:

3468 = 22×31×172

∴ So by taking common prime factors GCF of 3466 and 3468 is 2

Greatest Common Factor of 3466 and 3468 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 3468

List of positive integer factors of 3468 that divides 3468 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468

Greatest Common Factor

We found the factors and prime factorization of 3466 and 3468. The biggest common factor number is the GCF number.
So the greatest common factor 3466 and 3468 is 2.

Also check out the Least Common Multiple of 3466 and 3468

Properties of GCF 3466 and 3468

(i) The GCF of 3466 and 3468 is associative

GCF of 3466 and 3468 = GCF of 3468 and 3466

Related Greatest Common Factor of 3466

Related Greatest Common Factor of 3468

Frequently Asked Questions on GCF of 3466 and 3468

1. What is the GCF of 3466 and 3468?

Answer: GCF of 3466 and 3468 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 3468?

Answer: Factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468. There are 18 integers that are factors of 3468. The greatest factor of 3468 is 3468.

4. How to Find the GCF of 3466 and 3468?

Answer:

Greatest Common Factor of 3466 and 3468 = 2

Step 1: Find the prime factorization of 3466

3466 = 2 x 1733

Step 2: Find the prime factorization of 3468

3468 = 2 x 2 x 3 x 17 x 17

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 3468 is 2