Greatest Common Factor of 3456 and 3462

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, 3462 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3456 and 3462 is 6.

GCF(3456,3462) = 6

GCF of 3456 and 3462

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

GCF of:
and

Greatest Common Factor of 3456 and 3462

GCF of 3456 and 3462 is 6

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 3462


2 3462
3 1731
577 577
1

Prime factors of 3462 are 2,3,577. Prime factorization of 3462 in exponential form is:

3462 = 21×31×5771

∴ So by taking common prime factors GCF of 3456 and 3462 is 6

Greatest Common Factor of 3456 and 3462 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 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Greatest Common Factor

We found the factors and prime factorization of 3456 and 3462. The biggest common factor number is the GCF number.
So the greatest common factor 3456 and 3462 is 6.

Also check out the Least Common Multiple of 3456 and 3462

Properties of GCF 3456 and 3462

(i) The GCF of 3456 and 3462 is associative

GCF of 3456 and 3462 = GCF of 3462 and 3456

Related Greatest Common Factor of 3456

Related Greatest Common Factor of 3462

Frequently Asked Questions on GCF of 3456 and 3462

1. What is the GCF of 3456 and 3462?

Answer: GCF of 3456 and 3462 is 6.

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 3462?

Answer: Factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462. There are 8 integers that are factors of 3462. The greatest factor of 3462 is 3462.

4. How to Find the GCF of 3456 and 3462?

Answer:

Greatest Common Factor of 3456 and 3462 = 6

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 3462

3462 = 2 x 3 x 577

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 3456 and 3462 is 6