Greatest Common Factor of 3466 and 3472

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, 3472 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3466 and 3472 is 2.

GCF(3466,3472) = 2

GCF of 3466 and 3472

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

GCF of:
and

Greatest Common Factor of 3466 and 3472

GCF of 3466 and 3472 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 3472


2 3472
2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 3472 are 2,7,31. Prime factorization of 3472 in exponential form is:

3472 = 24×71×311

∴ So by taking common prime factors GCF of 3466 and 3472 is 2

Greatest Common Factor of 3466 and 3472 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 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472

Greatest Common Factor

We found the factors and prime factorization of 3466 and 3472. The biggest common factor number is the GCF number.
So the greatest common factor 3466 and 3472 is 2.

Also check out the Least Common Multiple of 3466 and 3472

Properties of GCF 3466 and 3472

(i) The GCF of 3466 and 3472 is associative

GCF of 3466 and 3472 = GCF of 3472 and 3466

Related Greatest Common Factor of 3466

Related Greatest Common Factor of 3472

Frequently Asked Questions on GCF of 3466 and 3472

1. What is the GCF of 3466 and 3472?

Answer: GCF of 3466 and 3472 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 3472?

Answer: Factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472. There are 20 integers that are factors of 3472. The greatest factor of 3472 is 3472.

4. How to Find the GCF of 3466 and 3472?

Answer:

Greatest Common Factor of 3466 and 3472 = 2

Step 1: Find the prime factorization of 3466

3466 = 2 x 1733

Step 2: Find the prime factorization of 3472

3472 = 2 x 2 x 2 x 2 x 7 x 31

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 3472 is 2