Greatest Common Factor of 3305 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 3305, 3312 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3305 and 3312 is 1.

GCF(3305,3312) = 1

GCF of 3305 and 3312

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

GCF of:
and

Greatest Common Factor of 3305 and 3312

GCF of 3305 and 3312 is 1

Prime Factorization of 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

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 3305 and 3312 is 1

Greatest Common Factor of 3305 and 3312 by matching factors method

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1,5,661,3305

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 3305 and 3312. The biggest common factor number is the GCF number.
So the greatest common factor 3305 and 3312 is 1.

Also check out the Least Common Multiple of 3305 and 3312

Properties of GCF 3305 and 3312

(i) The GCF of 3305 and 3312 is associative

GCF of 3305 and 3312 = GCF of 3312 and 3305

Related Greatest Common Factor of 3305

Related Greatest Common Factor of 3312

Frequently Asked Questions on GCF of 3305 and 3312

1. What is the GCF of 3305 and 3312?

Answer: GCF of 3305 and 3312 is 1.

2. What are the Factors of 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

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 3305 and 3312?

Answer:

Greatest Common Factor of 3305 and 3312 = 1

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

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 = = 1

Step 4: Therefore, the greatest common factor of 3305 and 3312 is 1