Greatest Common Factor of 3460 and 3466

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 3460, 3466 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3460 and 3466 is 2.

GCF(3460,3466) = 2

GCF of 3460 and 3466

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

GCF of:
and

Greatest Common Factor of 3460 and 3466

GCF of 3460 and 3466 is 2

Prime Factorization of 3460


2 3460
2 1730
5 865
173 173
1

Prime factors of 3460 are 2,5,173. Prime factorization of 3460 in exponential form is:

3460 = 22×51×1731

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

∴ So by taking common prime factors GCF of 3460 and 3466 is 2

Greatest Common Factor of 3460 and 3466 by matching factors method

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

Factors of 3466

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

1,2,1733,3466

Greatest Common Factor

We found the factors and prime factorization of 3460 and 3466. The biggest common factor number is the GCF number.
So the greatest common factor 3460 and 3466 is 2.

Also check out the Least Common Multiple of 3460 and 3466

Properties of GCF 3460 and 3466

(i) The GCF of 3460 and 3466 is associative

GCF of 3460 and 3466 = GCF of 3466 and 3460

Related Greatest Common Factor of 3460

Related Greatest Common Factor of 3466

Frequently Asked Questions on GCF of 3460 and 3466

1. What is the GCF of 3460 and 3466?

Answer: GCF of 3460 and 3466 is 2.

2. What are the Factors of 3460?

Answer: Factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460. There are 12 integers that are factors of 3460. The greatest factor of 3460 is 3460.

3. 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.

4. How to Find the GCF of 3460 and 3466?

Answer:

Greatest Common Factor of 3460 and 3466 = 2

Step 1: Find the prime factorization of 3460

3460 = 2 x 2 x 5 x 173

Step 2: Find the prime factorization of 3466

3466 = 2 x 1733

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 3460 and 3466 is 2