Greatest Common Factor of 34218 and 34222

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 34218, 34222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34218 and 34222 is 2.

GCF(34218,34222) = 2

GCF of 34218 and 34222

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

GCF of:
and

Greatest Common Factor of 34218 and 34222

GCF of 34218 and 34222 is 2

Prime Factorization of 34218


2 34218
3 17109
3 5703
1901 1901
1

Prime factors of 34218 are 2,3,1901. Prime factorization of 34218 in exponential form is:

34218 = 21×32×19011

Prime Factorization of 34222


2 34222
71 17111
241 241
1

Prime factors of 34222 are 2,71,241. Prime factorization of 34222 in exponential form is:

34222 = 21×711×2411

∴ So by taking common prime factors GCF of 34218 and 34222 is 2

Greatest Common Factor of 34218 and 34222 by matching factors method

Factors of 34218

List of positive integer factors of 34218 that divides 34218 without a remainder.

1,2,3,6,9,18,1901,3802,5703,11406,17109,34218

Factors of 34222

List of positive integer factors of 34222 that divides 34222 without a remainder.

1,2,71,142,241,482,17111,34222

Greatest Common Factor

We found the factors and prime factorization of 34218 and 34222. The biggest common factor number is the GCF number.
So the greatest common factor 34218 and 34222 is 2.

Also check out the Least Common Multiple of 34218 and 34222

Properties of GCF 34218 and 34222

(i) The GCF of 34218 and 34222 is associative

GCF of 34218 and 34222 = GCF of 34222 and 34218

Related Greatest Common Factor of 34218

Related Greatest Common Factor of 34222

Frequently Asked Questions on GCF of 34218 and 34222

1. What is the GCF of 34218 and 34222?

Answer: GCF of 34218 and 34222 is 2.

2. What are the Factors of 34218?

Answer: Factors of 34218 are 1, 2, 3, 6, 9, 18, 1901, 3802, 5703, 11406, 17109, 34218. There are 12 integers that are factors of 34218. The greatest factor of 34218 is 34218.

3. What are the Factors of 34222?

Answer: Factors of 34222 are 1, 2, 71, 142, 241, 482, 17111, 34222. There are 8 integers that are factors of 34222. The greatest factor of 34222 is 34222.

4. How to Find the GCF of 34218 and 34222?

Answer:

Greatest Common Factor of 34218 and 34222 = 2

Step 1: Find the prime factorization of 34218

34218 = 2 x 3 x 3 x 1901

Step 2: Find the prime factorization of 34222

34222 = 2 x 71 x 241

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 34218 and 34222 is 2