Greatest Common Factor of 3452 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 3452, 3456 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3452 and 3456 is 4.

GCF(3452,3456) = 4

GCF of 3452 and 3456

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

GCF of:
and

Greatest Common Factor of 3452 and 3456

GCF of 3452 and 3456 is 4

Prime Factorization of 3452


2 3452
2 1726
863 863
1

Prime factors of 3452 are 2,863. Prime factorization of 3452 in exponential form is:

3452 = 22×8631

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 3452 and 3456 is 4

Greatest Common Factor of 3452 and 3456 by matching factors method

Factors of 3452

List of positive integer factors of 3452 that divides 3452 without a remainder.

1,2,4,863,1726,3452

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 3452 and 3456. The biggest common factor number is the GCF number.
So the greatest common factor 3452 and 3456 is 4.

Also check out the Least Common Multiple of 3452 and 3456

Properties of GCF 3452 and 3456

(i) The GCF of 3452 and 3456 is associative

GCF of 3452 and 3456 = GCF of 3456 and 3452

Related Greatest Common Factor of 3452

Related Greatest Common Factor of 3456

Frequently Asked Questions on GCF of 3452 and 3456

1. What is the GCF of 3452 and 3456?

Answer: GCF of 3452 and 3456 is 4.

2. What are the Factors of 3452?

Answer: Factors of 3452 are 1, 2, 4, 863, 1726, 3452. There are 6 integers that are factors of 3452. The greatest factor of 3452 is 3452.

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 3452 and 3456?

Answer:

Greatest Common Factor of 3452 and 3456 = 4

Step 1: Find the prime factorization of 3452

3452 = 2 x 2 x 863

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 2 = 4

Step 4: Therefore, the greatest common factor of 3452 and 3456 is 4