Greatest Common Factor of 7214 and 7222

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 7214, 7222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7214 and 7222 is 2.

GCF(7214,7222) = 2

GCF of 7214 and 7222

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

GCF of:
and

Greatest Common Factor of 7214 and 7222

GCF of 7214 and 7222 is 2

Prime Factorization of 7214


2 7214
3607 3607
1

Prime factors of 7214 are 2,3607. Prime factorization of 7214 in exponential form is:

7214 = 21×36071

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

∴ So by taking common prime factors GCF of 7214 and 7222 is 2

Greatest Common Factor of 7214 and 7222 by matching factors method

Factors of 7214

List of positive integer factors of 7214 that divides 7214 without a remainder.

1,2,3607,7214

Factors of 7222

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

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

Greatest Common Factor

We found the factors and prime factorization of 7214 and 7222. The biggest common factor number is the GCF number.
So the greatest common factor 7214 and 7222 is 2.

Also check out the Least Common Multiple of 7214 and 7222

Properties of GCF 7214 and 7222

(i) The GCF of 7214 and 7222 is associative

GCF of 7214 and 7222 = GCF of 7222 and 7214

Related Greatest Common Factor of 7214

Related Greatest Common Factor of 7222

Frequently Asked Questions on GCF of 7214 and 7222

1. What is the GCF of 7214 and 7222?

Answer: GCF of 7214 and 7222 is 2.

2. What are the Factors of 7214?

Answer: Factors of 7214 are 1, 2, 3607, 7214. There are 4 integers that are factors of 7214. The greatest factor of 7214 is 7214.

3. 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.

4. How to Find the GCF of 7214 and 7222?

Answer:

Greatest Common Factor of 7214 and 7222 = 2

Step 1: Find the prime factorization of 7214

7214 = 2 x 3607

Step 2: Find the prime factorization of 7222

7222 = 2 x 23 x 157

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 7214 and 7222 is 2