Greatest Common Factor of 3414 and 3418

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 3414, 3418 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3414 and 3418 is 2.

GCF(3414,3418) = 2

GCF of 3414 and 3418

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

GCF of:
and

Greatest Common Factor of 3414 and 3418

GCF of 3414 and 3418 is 2

Prime Factorization of 3414


2 3414
3 1707
569 569
1

Prime factors of 3414 are 2,3,569. Prime factorization of 3414 in exponential form is:

3414 = 21×31×5691

Prime Factorization of 3418


2 3418
1709 1709
1

Prime factors of 3418 are 2,1709. Prime factorization of 3418 in exponential form is:

3418 = 21×17091

∴ So by taking common prime factors GCF of 3414 and 3418 is 2

Greatest Common Factor of 3414 and 3418 by matching factors method

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Factors of 3418

List of positive integer factors of 3418 that divides 3418 without a remainder.

1,2,1709,3418

Greatest Common Factor

We found the factors and prime factorization of 3414 and 3418. The biggest common factor number is the GCF number.
So the greatest common factor 3414 and 3418 is 2.

Also check out the Least Common Multiple of 3414 and 3418

Properties of GCF 3414 and 3418

(i) The GCF of 3414 and 3418 is associative

GCF of 3414 and 3418 = GCF of 3418 and 3414

Related Greatest Common Factor of 3414

Related Greatest Common Factor of 3418

Frequently Asked Questions on GCF of 3414 and 3418

1. What is the GCF of 3414 and 3418?

Answer: GCF of 3414 and 3418 is 2.

2. What are the Factors of 3414?

Answer: Factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414. There are 8 integers that are factors of 3414. The greatest factor of 3414 is 3414.

3. What are the Factors of 3418?

Answer: Factors of 3418 are 1, 2, 1709, 3418. There are 4 integers that are factors of 3418. The greatest factor of 3418 is 3418.

4. How to Find the GCF of 3414 and 3418?

Answer:

Greatest Common Factor of 3414 and 3418 = 2

Step 1: Find the prime factorization of 3414

3414 = 2 x 3 x 569

Step 2: Find the prime factorization of 3418

3418 = 2 x 1709

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 3414 and 3418 is 2