Greatest Common Factor of 3418 and 3422

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 3418, 3422 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3418 and 3422 is 2.

GCF(3418,3422) = 2

GCF of 3418 and 3422

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

GCF of:
and

Greatest Common Factor of 3418 and 3422

GCF of 3418 and 3422 is 2

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

Prime Factorization of 3422


2 3422
29 1711
59 59
1

Prime factors of 3422 are 2,29,59. Prime factorization of 3422 in exponential form is:

3422 = 21×291×591

∴ So by taking common prime factors GCF of 3418 and 3422 is 2

Greatest Common Factor of 3418 and 3422 by matching factors method

Factors of 3418

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

1,2,1709,3418

Factors of 3422

List of positive integer factors of 3422 that divides 3422 without a remainder.

1,2,29,58,59,118,1711,3422

Greatest Common Factor

We found the factors and prime factorization of 3418 and 3422. The biggest common factor number is the GCF number.
So the greatest common factor 3418 and 3422 is 2.

Also check out the Least Common Multiple of 3418 and 3422

Properties of GCF 3418 and 3422

(i) The GCF of 3418 and 3422 is associative

GCF of 3418 and 3422 = GCF of 3422 and 3418

Related Greatest Common Factor of 3418

Related Greatest Common Factor of 3422

Frequently Asked Questions on GCF of 3418 and 3422

1. What is the GCF of 3418 and 3422?

Answer: GCF of 3418 and 3422 is 2.

2. 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.

3. What are the Factors of 3422?

Answer: Factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422. There are 8 integers that are factors of 3422. The greatest factor of 3422 is 3422.

4. How to Find the GCF of 3418 and 3422?

Answer:

Greatest Common Factor of 3418 and 3422 = 2

Step 1: Find the prime factorization of 3418

3418 = 2 x 1709

Step 2: Find the prime factorization of 3422

3422 = 2 x 29 x 59

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 3418 and 3422 is 2