Greatest Common Factor of 3264 and 3272

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 3264, 3272 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3264 and 3272 is 8.

GCF(3264,3272) = 8

GCF of 3264 and 3272

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

GCF of:
and

Greatest Common Factor of 3264 and 3272

GCF of 3264 and 3272 is 8

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

Prime Factorization of 3272


2 3272
2 1636
2 818
409 409
1

Prime factors of 3272 are 2,409. Prime factorization of 3272 in exponential form is:

3272 = 23×4091

∴ So by taking common prime factors GCF of 3264 and 3272 is 8

Greatest Common Factor of 3264 and 3272 by matching factors method

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

Factors of 3272

List of positive integer factors of 3272 that divides 3272 without a remainder.

1,2,4,8,409,818,1636,3272

Greatest Common Factor

We found the factors and prime factorization of 3264 and 3272. The biggest common factor number is the GCF number.
So the greatest common factor 3264 and 3272 is 8.

Also check out the Least Common Multiple of 3264 and 3272

Properties of GCF 3264 and 3272

(i) The GCF of 3264 and 3272 is associative

GCF of 3264 and 3272 = GCF of 3272 and 3264

Related Greatest Common Factor of 3264

Related Greatest Common Factor of 3272

Frequently Asked Questions on GCF of 3264 and 3272

1. What is the GCF of 3264 and 3272?

Answer: GCF of 3264 and 3272 is 8.

2. 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.

3. What are the Factors of 3272?

Answer: Factors of 3272 are 1, 2, 4, 8, 409, 818, 1636, 3272. There are 8 integers that are factors of 3272. The greatest factor of 3272 is 3272.

4. How to Find the GCF of 3264 and 3272?

Answer:

Greatest Common Factor of 3264 and 3272 = 8

Step 1: Find the prime factorization of 3264

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

Step 2: Find the prime factorization of 3272

3272 = 2 x 2 x 2 x 409

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 3264 and 3272 is 8