Greatest Common Factor of 3448 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 3448, 3456 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3448 and 3456 is 8.

GCF(3448,3456) = 8

GCF of 3448 and 3456

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

GCF of:
and

Greatest Common Factor of 3448 and 3456

GCF of 3448 and 3456 is 8

Prime Factorization of 3448


2 3448
2 1724
2 862
431 431
1

Prime factors of 3448 are 2,431. Prime factorization of 3448 in exponential form is:

3448 = 23×4311

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 3448 and 3456 is 8

Greatest Common Factor of 3448 and 3456 by matching factors method

Factors of 3448

List of positive integer factors of 3448 that divides 3448 without a remainder.

1,2,4,8,431,862,1724,3448

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 3448 and 3456. The biggest common factor number is the GCF number.
So the greatest common factor 3448 and 3456 is 8.

Also check out the Least Common Multiple of 3448 and 3456

Properties of GCF 3448 and 3456

(i) The GCF of 3448 and 3456 is associative

GCF of 3448 and 3456 = GCF of 3456 and 3448

Related Greatest Common Factor of 3448

Related Greatest Common Factor of 3456

Frequently Asked Questions on GCF of 3448 and 3456

1. What is the GCF of 3448 and 3456?

Answer: GCF of 3448 and 3456 is 8.

2. What are the Factors of 3448?

Answer: Factors of 3448 are 1, 2, 4, 8, 431, 862, 1724, 3448. There are 8 integers that are factors of 3448. The greatest factor of 3448 is 3448.

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 3448 and 3456?

Answer:

Greatest Common Factor of 3448 and 3456 = 8

Step 1: Find the prime factorization of 3448

3448 = 2 x 2 x 2 x 431

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 3448 and 3456 is 8