Greatest Common Factor of 8418 and 8422

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 8418, 8422 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8418 and 8422 is 2.

GCF(8418,8422) = 2

GCF of 8418 and 8422

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

GCF of:
and

Greatest Common Factor of 8418 and 8422

GCF of 8418 and 8422 is 2

Prime Factorization of 8418


2 8418
3 4209
23 1403
61 61
1

Prime factors of 8418 are 2,3,23,61. Prime factorization of 8418 in exponential form is:

8418 = 21×31×231×611

Prime Factorization of 8422


2 8422
4211 4211
1

Prime factors of 8422 are 2,4211. Prime factorization of 8422 in exponential form is:

8422 = 21×42111

∴ So by taking common prime factors GCF of 8418 and 8422 is 2

Greatest Common Factor of 8418 and 8422 by matching factors method

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1,2,4211,8422

Greatest Common Factor

We found the factors and prime factorization of 8418 and 8422. The biggest common factor number is the GCF number.
So the greatest common factor 8418 and 8422 is 2.

Also check out the Least Common Multiple of 8418 and 8422

Properties of GCF 8418 and 8422

(i) The GCF of 8418 and 8422 is associative

GCF of 8418 and 8422 = GCF of 8422 and 8418

Related Greatest Common Factor of 8418

Related Greatest Common Factor of 8422

Frequently Asked Questions on GCF of 8418 and 8422

1. What is the GCF of 8418 and 8422?

Answer: GCF of 8418 and 8422 is 2.

2. What are the Factors of 8418?

Answer: Factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418. There are 16 integers that are factors of 8418. The greatest factor of 8418 is 8418.

3. What are the Factors of 8422?

Answer: Factors of 8422 are 1, 2, 4211, 8422. There are 4 integers that are factors of 8422. The greatest factor of 8422 is 8422.

4. How to Find the GCF of 8418 and 8422?

Answer:

Greatest Common Factor of 8418 and 8422 = 2

Step 1: Find the prime factorization of 8418

8418 = 2 x 3 x 23 x 61

Step 2: Find the prime factorization of 8422

8422 = 2 x 4211

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 8418 and 8422 is 2