Greatest Common Factor of 3256 and 3264

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 3256, 3264 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3256 and 3264 is 8.

GCF(3256,3264) = 8

GCF of 3256 and 3264

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

GCF of:
and

Greatest Common Factor of 3256 and 3264

GCF of 3256 and 3264 is 8

Prime Factorization of 3256


2 3256
2 1628
2 814
11 407
37 37
1

Prime factors of 3256 are 2,11,37. Prime factorization of 3256 in exponential form is:

3256 = 23×111×371

Prime Factorization of 3264


2 3264
2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 3264 are 2,3,17. Prime factorization of 3264 in exponential form is:

3264 = 26×31×171

∴ So by taking common prime factors GCF of 3256 and 3264 is 8

Greatest Common Factor of 3256 and 3264 by matching factors method

Factors of 3256

List of positive integer factors of 3256 that divides 3256 without a remainder.

1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256

Factors of 3264

List of positive integer factors of 3264 that divides 3264 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,136,192,204,272,408,544,816,1088,1632,3264

Greatest Common Factor

We found the factors and prime factorization of 3256 and 3264. The biggest common factor number is the GCF number.
So the greatest common factor 3256 and 3264 is 8.

Also check out the Least Common Multiple of 3256 and 3264

Properties of GCF 3256 and 3264

(i) The GCF of 3256 and 3264 is associative

GCF of 3256 and 3264 = GCF of 3264 and 3256

Related Greatest Common Factor of 3256

Related Greatest Common Factor of 3264

Frequently Asked Questions on GCF of 3256 and 3264

1. What is the GCF of 3256 and 3264?

Answer: GCF of 3256 and 3264 is 8.

2. What are the Factors of 3256?

Answer: Factors of 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256. There are 16 integers that are factors of 3256. The greatest factor of 3256 is 3256.

3. What are the Factors of 3264?

Answer: Factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264. There are 28 integers that are factors of 3264. The greatest factor of 3264 is 3264.

4. How to Find the GCF of 3256 and 3264?

Answer:

Greatest Common Factor of 3256 and 3264 = 8

Step 1: Find the prime factorization of 3256

3256 = 2 x 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 3264

3264 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17

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 3256 and 3264 is 8