Greatest Common Factor of 7221 and 7227

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 7221, 7227 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7221 and 7227 is 3.

GCF(7221,7227) = 3

GCF of 7221 and 7227

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

GCF of:
and

Greatest Common Factor of 7221 and 7227

GCF of 7221 and 7227 is 3

Prime Factorization of 7221


3 7221
29 2407
83 83
1

Prime factors of 7221 are 3,29,83. Prime factorization of 7221 in exponential form is:

7221 = 31×291×831

Prime Factorization of 7227


3 7227
3 2409
11 803
73 73
1

Prime factors of 7227 are 3,11,73. Prime factorization of 7227 in exponential form is:

7227 = 32×111×731

∴ So by taking common prime factors GCF of 7221 and 7227 is 3

Greatest Common Factor of 7221 and 7227 by matching factors method

Factors of 7221

List of positive integer factors of 7221 that divides 7221 without a remainder.

1,3,29,83,87,249,2407,7221

Factors of 7227

List of positive integer factors of 7227 that divides 7227 without a remainder.

1,3,9,11,33,73,99,219,657,803,2409,7227

Greatest Common Factor

We found the factors and prime factorization of 7221 and 7227. The biggest common factor number is the GCF number.
So the greatest common factor 7221 and 7227 is 3.

Also check out the Least Common Multiple of 7221 and 7227

Properties of GCF 7221 and 7227

(i) The GCF of 7221 and 7227 is associative

GCF of 7221 and 7227 = GCF of 7227 and 7221

Related Greatest Common Factor of 7221

Related Greatest Common Factor of 7227

Frequently Asked Questions on GCF of 7221 and 7227

1. What is the GCF of 7221 and 7227?

Answer: GCF of 7221 and 7227 is 3.

2. What are the Factors of 7221?

Answer: Factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221. There are 8 integers that are factors of 7221. The greatest factor of 7221 is 7221.

3. What are the Factors of 7227?

Answer: Factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227. There are 12 integers that are factors of 7227. The greatest factor of 7227 is 7227.

4. How to Find the GCF of 7221 and 7227?

Answer:

Greatest Common Factor of 7221 and 7227 = 3

Step 1: Find the prime factorization of 7221

7221 = 3 x 29 x 83

Step 2: Find the prime factorization of 7227

7227 = 3 x 3 x 11 x 73

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 7221 and 7227 is 3