Greatest Common Factor of 3450 and 3456

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 3450, 3456 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3450 and 3456 is 6.

GCF(3450,3456) = 6

GCF of 3450 and 3456

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

GCF of:
and

Greatest Common Factor of 3450 and 3456

GCF of 3450 and 3456 is 6

Prime Factorization of 3450


2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 3450 are 2,3,5,23. Prime factorization of 3450 in exponential form is:

3450 = 21×31×52×231

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

∴ So by taking common prime factors GCF of 3450 and 3456 is 6

Greatest Common Factor of 3450 and 3456 by matching factors method

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450

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

Greatest Common Factor

We found the factors and prime factorization of 3450 and 3456. The biggest common factor number is the GCF number.
So the greatest common factor 3450 and 3456 is 6.

Also check out the Least Common Multiple of 3450 and 3456

Properties of GCF 3450 and 3456

(i) The GCF of 3450 and 3456 is associative

GCF of 3450 and 3456 = GCF of 3456 and 3450

Related Greatest Common Factor of 3450

Related Greatest Common Factor of 3456

Frequently Asked Questions on GCF of 3450 and 3456

1. What is the GCF of 3450 and 3456?

Answer: GCF of 3450 and 3456 is 6.

2. What are the Factors of 3450?

Answer: Factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450. There are 24 integers that are factors of 3450. The greatest factor of 3450 is 3450.

3. 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.

4. How to Find the GCF of 3450 and 3456?

Answer:

Greatest Common Factor of 3450 and 3456 = 6

Step 1: Find the prime factorization of 3450

3450 = 2 x 3 x 5 x 5 x 23

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3450 and 3456 is 6