Greatest Common Factor of 22418 and 22422

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 22418, 22422 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 22418 and 22422 is 2.

GCF(22418,22422) = 2

GCF of 22418 and 22422

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

GCF of:
and

Greatest Common Factor of 22418 and 22422

GCF of 22418 and 22422 is 2

Prime Factorization of 22418


2 22418
11 11209
1019 1019
1

Prime factors of 22418 are 2,11,1019. Prime factorization of 22418 in exponential form is:

22418 = 21×111×10191

Prime Factorization of 22422


2 22422
3 11211
37 3737
101 101
1

Prime factors of 22422 are 2,3,37,101. Prime factorization of 22422 in exponential form is:

22422 = 21×31×371×1011

∴ So by taking common prime factors GCF of 22418 and 22422 is 2

Greatest Common Factor of 22418 and 22422 by matching factors method

Factors of 22418

List of positive integer factors of 22418 that divides 22418 without a remainder.

1,2,11,22,1019,2038,11209,22418

Factors of 22422

List of positive integer factors of 22422 that divides 22422 without a remainder.

1,2,3,6,37,74,101,111,202,222,303,606,3737,7474,11211,22422

Greatest Common Factor

We found the factors and prime factorization of 22418 and 22422. The biggest common factor number is the GCF number.
So the greatest common factor 22418 and 22422 is 2.

Also check out the Least Common Multiple of 22418 and 22422

Properties of GCF 22418 and 22422

(i) The GCF of 22418 and 22422 is associative

GCF of 22418 and 22422 = GCF of 22422 and 22418

Related Greatest Common Factor of 22418

Related Greatest Common Factor of 22422

Frequently Asked Questions on GCF of 22418 and 22422

1. What is the GCF of 22418 and 22422?

Answer: GCF of 22418 and 22422 is 2.

2. What are the Factors of 22418?

Answer: Factors of 22418 are 1, 2, 11, 22, 1019, 2038, 11209, 22418. There are 8 integers that are factors of 22418. The greatest factor of 22418 is 22418.

3. What are the Factors of 22422?

Answer: Factors of 22422 are 1, 2, 3, 6, 37, 74, 101, 111, 202, 222, 303, 606, 3737, 7474, 11211, 22422. There are 16 integers that are factors of 22422. The greatest factor of 22422 is 22422.

4. How to Find the GCF of 22418 and 22422?

Answer:

Greatest Common Factor of 22418 and 22422 = 2

Step 1: Find the prime factorization of 22418

22418 = 2 x 11 x 1019

Step 2: Find the prime factorization of 22422

22422 = 2 x 3 x 37 x 101

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 22418 and 22422 is 2