Greatest Common Factor of 3456 and 3460

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, 3460 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3456 and 3460 is 4.

GCF(3456,3460) = 4

GCF of 3456 and 3460

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

GCF of:
and

Greatest Common Factor of 3456 and 3460

GCF of 3456 and 3460 is 4

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 3460


2 3460
2 1730
5 865
173 173
1

Prime factors of 3460 are 2,5,173. Prime factorization of 3460 in exponential form is:

3460 = 22×51×1731

∴ So by taking common prime factors GCF of 3456 and 3460 is 4

Greatest Common Factor of 3456 and 3460 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 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

Greatest Common Factor

We found the factors and prime factorization of 3456 and 3460. The biggest common factor number is the GCF number.
So the greatest common factor 3456 and 3460 is 4.

Also check out the Least Common Multiple of 3456 and 3460

Properties of GCF 3456 and 3460

(i) The GCF of 3456 and 3460 is associative

GCF of 3456 and 3460 = GCF of 3460 and 3456

Related Greatest Common Factor of 3456

Related Greatest Common Factor of 3460

Frequently Asked Questions on GCF of 3456 and 3460

1. What is the GCF of 3456 and 3460?

Answer: GCF of 3456 and 3460 is 4.

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 3460?

Answer: Factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460. There are 12 integers that are factors of 3460. The greatest factor of 3460 is 3460.

4. How to Find the GCF of 3456 and 3460?

Answer:

Greatest Common Factor of 3456 and 3460 = 4

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 3460

3460 = 2 x 2 x 5 x 173

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 3456 and 3460 is 4