Greatest Common Factor of 3312 and 3316

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, 3316 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3312 and 3316 is 4.

GCF(3312,3316) = 4

GCF of 3312 and 3316

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

GCF of:
and

Greatest Common Factor of 3312 and 3316

GCF of 3312 and 3316 is 4

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 3316


2 3316
2 1658
829 829
1

Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:

3316 = 22×8291

∴ So by taking common prime factors GCF of 3312 and 3316 is 4

Greatest Common Factor of 3312 and 3316 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 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1,2,4,829,1658,3316

Greatest Common Factor

We found the factors and prime factorization of 3312 and 3316. The biggest common factor number is the GCF number.
So the greatest common factor 3312 and 3316 is 4.

Also check out the Least Common Multiple of 3312 and 3316

Properties of GCF 3312 and 3316

(i) The GCF of 3312 and 3316 is associative

GCF of 3312 and 3316 = GCF of 3316 and 3312

Related Greatest Common Factor of 3312

Related Greatest Common Factor of 3316

Frequently Asked Questions on GCF of 3312 and 3316

1. What is the GCF of 3312 and 3316?

Answer: GCF of 3312 and 3316 is 4.

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 3316?

Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.

4. How to Find the GCF of 3312 and 3316?

Answer:

Greatest Common Factor of 3312 and 3316 = 4

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 3316

3316 = 2 x 2 x 829

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3312 and 3316 is 4