Greatest Common Factor of 7222 and 7226

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 7222, 7226 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7222 and 7226 is 2.

GCF(7222,7226) = 2

GCF of 7222 and 7226

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

GCF of:
and

Greatest Common Factor of 7222 and 7226

GCF of 7222 and 7226 is 2

Prime Factorization of 7222


2 7222
23 3611
157 157
1

Prime factors of 7222 are 2,23,157. Prime factorization of 7222 in exponential form is:

7222 = 21×231×1571

Prime Factorization of 7226


2 7226
3613 3613
1

Prime factors of 7226 are 2,3613. Prime factorization of 7226 in exponential form is:

7226 = 21×36131

∴ So by taking common prime factors GCF of 7222 and 7226 is 2

Greatest Common Factor of 7222 and 7226 by matching factors method

Factors of 7222

List of positive integer factors of 7222 that divides 7222 without a remainder.

1,2,23,46,157,314,3611,7222

Factors of 7226

List of positive integer factors of 7226 that divides 7226 without a remainder.

1,2,3613,7226

Greatest Common Factor

We found the factors and prime factorization of 7222 and 7226. The biggest common factor number is the GCF number.
So the greatest common factor 7222 and 7226 is 2.

Also check out the Least Common Multiple of 7222 and 7226

Properties of GCF 7222 and 7226

(i) The GCF of 7222 and 7226 is associative

GCF of 7222 and 7226 = GCF of 7226 and 7222

Related Greatest Common Factor of 7222

Related Greatest Common Factor of 7226

Frequently Asked Questions on GCF of 7222 and 7226

1. What is the GCF of 7222 and 7226?

Answer: GCF of 7222 and 7226 is 2.

2. What are the Factors of 7222?

Answer: Factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222. There are 8 integers that are factors of 7222. The greatest factor of 7222 is 7222.

3. What are the Factors of 7226?

Answer: Factors of 7226 are 1, 2, 3613, 7226. There are 4 integers that are factors of 7226. The greatest factor of 7226 is 7226.

4. How to Find the GCF of 7222 and 7226?

Answer:

Greatest Common Factor of 7222 and 7226 = 2

Step 1: Find the prime factorization of 7222

7222 = 2 x 23 x 157

Step 2: Find the prime factorization of 7226

7226 = 2 x 3613

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 7222 and 7226 is 2