Greatest Common Factor of 3312 and 3314

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, 3314 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3312 and 3314 is 2.

GCF(3312,3314) = 2

GCF of 3312 and 3314

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

GCF of:
and

Greatest Common Factor of 3312 and 3314

GCF of 3312 and 3314 is 2

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 3314


2 3314
1657 1657
1

Prime factors of 3314 are 2,1657. Prime factorization of 3314 in exponential form is:

3314 = 21×16571

∴ So by taking common prime factors GCF of 3312 and 3314 is 2

Greatest Common Factor of 3312 and 3314 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 3314

List of positive integer factors of 3314 that divides 3314 without a remainder.

1,2,1657,3314

Greatest Common Factor

We found the factors and prime factorization of 3312 and 3314. The biggest common factor number is the GCF number.
So the greatest common factor 3312 and 3314 is 2.

Also check out the Least Common Multiple of 3312 and 3314

Properties of GCF 3312 and 3314

(i) The GCF of 3312 and 3314 is associative

GCF of 3312 and 3314 = GCF of 3314 and 3312

Related Greatest Common Factor of 3312

Related Greatest Common Factor of 3314

Frequently Asked Questions on GCF of 3312 and 3314

1. What is the GCF of 3312 and 3314?

Answer: GCF of 3312 and 3314 is 2.

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 3314?

Answer: Factors of 3314 are 1, 2, 1657, 3314. There are 4 integers that are factors of 3314. The greatest factor of 3314 is 3314.

4. How to Find the GCF of 3312 and 3314?

Answer:

Greatest Common Factor of 3312 and 3314 = 2

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 3314

3314 = 2 x 1657

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 3312 and 3314 is 2