Greatest Common Factor of 15222 and 15226

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 15222, 15226 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15222 and 15226 is 2.

GCF(15222,15226) = 2

GCF of 15222 and 15226

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

GCF of:
and

Greatest Common Factor of 15222 and 15226

GCF of 15222 and 15226 is 2

Prime Factorization of 15222


2 15222
3 7611
43 2537
59 59
1

Prime factors of 15222 are 2,3,43,59. Prime factorization of 15222 in exponential form is:

15222 = 21×31×431×591

Prime Factorization of 15226


2 15226
23 7613
331 331
1

Prime factors of 15226 are 2,23,331. Prime factorization of 15226 in exponential form is:

15226 = 21×231×3311

∴ So by taking common prime factors GCF of 15222 and 15226 is 2

Greatest Common Factor of 15222 and 15226 by matching factors method

Factors of 15222

List of positive integer factors of 15222 that divides 15222 without a remainder.

1,2,3,6,43,59,86,118,129,177,258,354,2537,5074,7611,15222

Factors of 15226

List of positive integer factors of 15226 that divides 15226 without a remainder.

1,2,23,46,331,662,7613,15226

Greatest Common Factor

We found the factors and prime factorization of 15222 and 15226. The biggest common factor number is the GCF number.
So the greatest common factor 15222 and 15226 is 2.

Also check out the Least Common Multiple of 15222 and 15226

Properties of GCF 15222 and 15226

(i) The GCF of 15222 and 15226 is associative

GCF of 15222 and 15226 = GCF of 15226 and 15222

Related Greatest Common Factor of 15222

Related Greatest Common Factor of 15226

Frequently Asked Questions on GCF of 15222 and 15226

1. What is the GCF of 15222 and 15226?

Answer: GCF of 15222 and 15226 is 2.

2. What are the Factors of 15222?

Answer: Factors of 15222 are 1, 2, 3, 6, 43, 59, 86, 118, 129, 177, 258, 354, 2537, 5074, 7611, 15222. There are 16 integers that are factors of 15222. The greatest factor of 15222 is 15222.

3. What are the Factors of 15226?

Answer: Factors of 15226 are 1, 2, 23, 46, 331, 662, 7613, 15226. There are 8 integers that are factors of 15226. The greatest factor of 15226 is 15226.

4. How to Find the GCF of 15222 and 15226?

Answer:

Greatest Common Factor of 15222 and 15226 = 2

Step 1: Find the prime factorization of 15222

15222 = 2 x 3 x 43 x 59

Step 2: Find the prime factorization of 15226

15226 = 2 x 23 x 331

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 15222 and 15226 is 2