Greatest Common Factor of 3312 and 3320

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 3312, 3320 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3312 and 3320 is 8.

GCF(3312,3320) = 8

GCF of 3312 and 3320

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

GCF of:
and

Greatest Common Factor of 3312 and 3320

GCF of 3312 and 3320 is 8

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

Prime Factorization of 3320


2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 3320 are 2,5,83. Prime factorization of 3320 in exponential form is:

3320 = 23×51×831

∴ So by taking common prime factors GCF of 3312 and 3320 is 8

Greatest Common Factor of 3312 and 3320 by matching factors method

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

Factors of 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1,2,4,5,8,10,20,40,83,166,332,415,664,830,1660,3320

Greatest Common Factor

We found the factors and prime factorization of 3312 and 3320. The biggest common factor number is the GCF number.
So the greatest common factor 3312 and 3320 is 8.

Also check out the Least Common Multiple of 3312 and 3320

Properties of GCF 3312 and 3320

(i) The GCF of 3312 and 3320 is associative

GCF of 3312 and 3320 = GCF of 3320 and 3312

Related Greatest Common Factor of 3312

Related Greatest Common Factor of 3320

Frequently Asked Questions on GCF of 3312 and 3320

1. What is the GCF of 3312 and 3320?

Answer: GCF of 3312 and 3320 is 8.

2. 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.

3. What are the Factors of 3320?

Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.

4. How to Find the GCF of 3312 and 3320?

Answer:

Greatest Common Factor of 3312 and 3320 = 8

Step 1: Find the prime factorization of 3312

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

Step 2: Find the prime factorization of 3320

3320 = 2 x 2 x 2 x 5 x 83

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 3312 and 3320 is 8