Greatest Common Factor of 3314 and 3318

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, 3318 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3314 and 3318 is 2.

GCF(3314,3318) = 2

GCF of 3314 and 3318

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

GCF of:
and

Greatest Common Factor of 3314 and 3318

GCF of 3314 and 3318 is 2

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 3318


2 3318
3 1659
7 553
79 79
1

Prime factors of 3318 are 2,3,7,79. Prime factorization of 3318 in exponential form is:

3318 = 21×31×71×791

∴ So by taking common prime factors GCF of 3314 and 3318 is 2

Greatest Common Factor of 3314 and 3318 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 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318

Greatest Common Factor

We found the factors and prime factorization of 3314 and 3318. The biggest common factor number is the GCF number.
So the greatest common factor 3314 and 3318 is 2.

Also check out the Least Common Multiple of 3314 and 3318

Properties of GCF 3314 and 3318

(i) The GCF of 3314 and 3318 is associative

GCF of 3314 and 3318 = GCF of 3318 and 3314

Related Greatest Common Factor of 3314

Related Greatest Common Factor of 3318

Frequently Asked Questions on GCF of 3314 and 3318

1. What is the GCF of 3314 and 3318?

Answer: GCF of 3314 and 3318 is 2.

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 3318?

Answer: Factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318. There are 16 integers that are factors of 3318. The greatest factor of 3318 is 3318.

4. How to Find the GCF of 3314 and 3318?

Answer:

Greatest Common Factor of 3314 and 3318 = 2

Step 1: Find the prime factorization of 3314

3314 = 2 x 1657

Step 2: Find the prime factorization of 3318

3318 = 2 x 3 x 7 x 79

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 3314 and 3318 is 2