Greatest Common Factor of 3314 and 3315

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 3314, 3315 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3314 and 3315 is 1.

GCF(3314,3315) = 1

GCF of 3314 and 3315

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

GCF of:
and

Greatest Common Factor of 3314 and 3315

GCF of 3314 and 3315 is 1

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

Prime Factorization of 3315


3 3315
5 1105
13 221
17 17
1

Prime factors of 3315 are 3,5,13,17. Prime factorization of 3315 in exponential form is:

3315 = 31×51×131×171

∴ So by taking common prime factors GCF of 3314 and 3315 is 1

Greatest Common Factor of 3314 and 3315 by matching factors method

Factors of 3314

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

1,2,1657,3314

Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315

Greatest Common Factor

We found the factors and prime factorization of 3314 and 3315. The biggest common factor number is the GCF number.
So the greatest common factor 3314 and 3315 is 1.

Also check out the Least Common Multiple of 3314 and 3315

Properties of GCF 3314 and 3315

(i) The GCF of 3314 and 3315 is associative

GCF of 3314 and 3315 = GCF of 3315 and 3314

Related Greatest Common Factor of 3314

Related Greatest Common Factor of 3315

Frequently Asked Questions on GCF of 3314 and 3315

1. What is the GCF of 3314 and 3315?

Answer: GCF of 3314 and 3315 is 1.

2. 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.

3. What are the Factors of 3315?

Answer: Factors of 3315 are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315. There are 16 integers that are factors of 3315. The greatest factor of 3315 is 3315.

4. How to Find the GCF of 3314 and 3315?

Answer:

Greatest Common Factor of 3314 and 3315 = 1

Step 1: Find the prime factorization of 3314

3314 = 2 x 1657

Step 2: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

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 3314 and 3315 is 1