Greatest Common Factor of 3456 and 3464

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, 3464 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3456 and 3464 is 8.

GCF(3456,3464) = 8

GCF of 3456 and 3464

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

GCF of:
and

Greatest Common Factor of 3456 and 3464

GCF of 3456 and 3464 is 8

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 3464


2 3464
2 1732
2 866
433 433
1

Prime factors of 3464 are 2,433. Prime factorization of 3464 in exponential form is:

3464 = 23×4331

∴ So by taking common prime factors GCF of 3456 and 3464 is 8

Greatest Common Factor of 3456 and 3464 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 3464

List of positive integer factors of 3464 that divides 3464 without a remainder.

1,2,4,8,433,866,1732,3464

Greatest Common Factor

We found the factors and prime factorization of 3456 and 3464. The biggest common factor number is the GCF number.
So the greatest common factor 3456 and 3464 is 8.

Also check out the Least Common Multiple of 3456 and 3464

Properties of GCF 3456 and 3464

(i) The GCF of 3456 and 3464 is associative

GCF of 3456 and 3464 = GCF of 3464 and 3456

Related Greatest Common Factor of 3456

Related Greatest Common Factor of 3464

Frequently Asked Questions on GCF of 3456 and 3464

1. What is the GCF of 3456 and 3464?

Answer: GCF of 3456 and 3464 is 8.

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 3464?

Answer: Factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464. There are 8 integers that are factors of 3464. The greatest factor of 3464 is 3464.

4. How to Find the GCF of 3456 and 3464?

Answer:

Greatest Common Factor of 3456 and 3464 = 8

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 3464

3464 = 2 x 2 x 2 x 433

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 3456 and 3464 is 8