Greatest Common Factor of 3264 and 3270

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, 3270 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3264 and 3270 is 6.

GCF(3264,3270) = 6

GCF of 3264 and 3270

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

GCF of:
and

Greatest Common Factor of 3264 and 3270

GCF of 3264 and 3270 is 6

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 3270


2 3270
3 1635
5 545
109 109
1

Prime factors of 3270 are 2,3,5,109. Prime factorization of 3270 in exponential form is:

3270 = 21×31×51×1091

∴ So by taking common prime factors GCF of 3264 and 3270 is 6

Greatest Common Factor of 3264 and 3270 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 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270

Greatest Common Factor

We found the factors and prime factorization of 3264 and 3270. The biggest common factor number is the GCF number.
So the greatest common factor 3264 and 3270 is 6.

Also check out the Least Common Multiple of 3264 and 3270

Properties of GCF 3264 and 3270

(i) The GCF of 3264 and 3270 is associative

GCF of 3264 and 3270 = GCF of 3270 and 3264

Related Greatest Common Factor of 3264

Related Greatest Common Factor of 3270

Frequently Asked Questions on GCF of 3264 and 3270

1. What is the GCF of 3264 and 3270?

Answer: GCF of 3264 and 3270 is 6.

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 3270?

Answer: Factors of 3270 are 1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635, 3270. There are 16 integers that are factors of 3270. The greatest factor of 3270 is 3270.

4. How to Find the GCF of 3264 and 3270?

Answer:

Greatest Common Factor of 3264 and 3270 = 6

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 3270

3270 = 2 x 3 x 5 x 109

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 3264 and 3270 is 6