Greatest Common Factor of 3310 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 3310, 3312 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3310 and 3312 is 2.

GCF(3310,3312) = 2

GCF of 3310 and 3312

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

GCF of:
and

Greatest Common Factor of 3310 and 3312

GCF of 3310 and 3312 is 2

Prime Factorization of 3310


2 3310
5 1655
331 331
1

Prime factors of 3310 are 2,5,331. Prime factorization of 3310 in exponential form is:

3310 = 21×51×3311

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 3310 and 3312 is 2

Greatest Common Factor of 3310 and 3312 by matching factors method

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1,2,5,10,331,662,1655,3310

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 3310 and 3312. The biggest common factor number is the GCF number.
So the greatest common factor 3310 and 3312 is 2.

Also check out the Least Common Multiple of 3310 and 3312

Properties of GCF 3310 and 3312

(i) The GCF of 3310 and 3312 is associative

GCF of 3310 and 3312 = GCF of 3312 and 3310

Related Greatest Common Factor of 3310

Related Greatest Common Factor of 3312

Frequently Asked Questions on GCF of 3310 and 3312

1. What is the GCF of 3310 and 3312?

Answer: GCF of 3310 and 3312 is 2.

2. What are the Factors of 3310?

Answer: Factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310. There are 8 integers that are factors of 3310. The greatest factor of 3310 is 3310.

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 3310 and 3312?

Answer:

Greatest Common Factor of 3310 and 3312 = 2

Step 1: Find the prime factorization of 3310

3310 = 2 x 5 x 331

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

Step 4: Therefore, the greatest common factor of 3310 and 3312 is 2