Greatest Common Factor of 3304 and 3312

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 3304, 3312 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3304 and 3312 is 8.

GCF(3304,3312) = 8

GCF of 3304 and 3312

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

GCF of:
and

Greatest Common Factor of 3304 and 3312

GCF of 3304 and 3312 is 8

Prime Factorization of 3304


2 3304
2 1652
2 826
7 413
59 59
1

Prime factors of 3304 are 2,7,59. Prime factorization of 3304 in exponential form is:

3304 = 23×71×591

Prime Factorization of 3312


2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 3312 are 2,3,23. Prime factorization of 3312 in exponential form is:

3312 = 24×32×231

∴ So by taking common prime factors GCF of 3304 and 3312 is 8

Greatest Common Factor of 3304 and 3312 by matching factors method

Factors of 3304

List of positive integer factors of 3304 that divides 3304 without a remainder.

1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304

Factors of 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,36,46,48,69,72,92,138,144,184,207,276,368,414,552,828,1104,1656,3312

Greatest Common Factor

We found the factors and prime factorization of 3304 and 3312. The biggest common factor number is the GCF number.
So the greatest common factor 3304 and 3312 is 8.

Also check out the Least Common Multiple of 3304 and 3312

Properties of GCF 3304 and 3312

(i) The GCF of 3304 and 3312 is associative

GCF of 3304 and 3312 = GCF of 3312 and 3304

Related Greatest Common Factor of 3304

Related Greatest Common Factor of 3312

Frequently Asked Questions on GCF of 3304 and 3312

1. What is the GCF of 3304 and 3312?

Answer: GCF of 3304 and 3312 is 8.

2. What are the Factors of 3304?

Answer: Factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304. There are 16 integers that are factors of 3304. The greatest factor of 3304 is 3304.

3. What are the Factors of 3312?

Answer: Factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312. There are 30 integers that are factors of 3312. The greatest factor of 3312 is 3312.

4. How to Find the GCF of 3304 and 3312?

Answer:

Greatest Common Factor of 3304 and 3312 = 8

Step 1: Find the prime factorization of 3304

3304 = 2 x 2 x 2 x 7 x 59

Step 2: Find the prime factorization of 3312

3312 = 2 x 2 x 2 x 2 x 3 x 3 x 23

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 3304 and 3312 is 8