Greatest Common Factor of 3456 and 3459

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 3456, 3459 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3456 and 3459 is 3.

GCF(3456,3459) = 3

GCF of 3456 and 3459

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

GCF of:
and

Greatest Common Factor of 3456 and 3459

GCF of 3456 and 3459 is 3

Prime Factorization of 3456


2 3456
2 1728
2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 3456 are 2,3. Prime factorization of 3456 in exponential form is:

3456 = 27×33

Prime Factorization of 3459


3 3459
1153 1153
1

Prime factors of 3459 are 3,1153. Prime factorization of 3459 in exponential form is:

3459 = 31×11531

∴ So by taking common prime factors GCF of 3456 and 3459 is 3

Greatest Common Factor of 3456 and 3459 by matching factors method

Factors of 3456

List of positive integer factors of 3456 that divides 3456 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456

Factors of 3459

List of positive integer factors of 3459 that divides 3459 without a remainder.

1,3,1153,3459

Greatest Common Factor

We found the factors and prime factorization of 3456 and 3459. The biggest common factor number is the GCF number.
So the greatest common factor 3456 and 3459 is 3.

Also check out the Least Common Multiple of 3456 and 3459

Properties of GCF 3456 and 3459

(i) The GCF of 3456 and 3459 is associative

GCF of 3456 and 3459 = GCF of 3459 and 3456

Related Greatest Common Factor of 3456

Related Greatest Common Factor of 3459

Frequently Asked Questions on GCF of 3456 and 3459

1. What is the GCF of 3456 and 3459?

Answer: GCF of 3456 and 3459 is 3.

2. What are the Factors of 3456?

Answer: Factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456. There are 32 integers that are factors of 3456. The greatest factor of 3456 is 3456.

3. What are the Factors of 3459?

Answer: Factors of 3459 are 1, 3, 1153, 3459. There are 4 integers that are factors of 3459. The greatest factor of 3459 is 3459.

4. How to Find the GCF of 3456 and 3459?

Answer:

Greatest Common Factor of 3456 and 3459 = 3

Step 1: Find the prime factorization of 3456

3456 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 3459

3459 = 3 x 1153

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3456 and 3459 is 3