Greatest Common Factor of 7224 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 7224, 7227 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7224 and 7227 is 3.

GCF(7224,7227) = 3

GCF of 7224 and 7227

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

GCF of:
and

Greatest Common Factor of 7224 and 7227

GCF of 7224 and 7227 is 3

Prime Factorization of 7224


2 7224
2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 7224 are 2,3,7,43. Prime factorization of 7224 in exponential form is:

7224 = 23×31×71×431

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 7224 and 7227 is 3

Greatest Common Factor of 7224 and 7227 by matching factors method

Factors of 7224

List of positive integer factors of 7224 that divides 7224 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224

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 7224 and 7227. The biggest common factor number is the GCF number.
So the greatest common factor 7224 and 7227 is 3.

Also check out the Least Common Multiple of 7224 and 7227

Properties of GCF 7224 and 7227

(i) The GCF of 7224 and 7227 is associative

GCF of 7224 and 7227 = GCF of 7227 and 7224

Related Greatest Common Factor of 7224

Related Greatest Common Factor of 7227

Frequently Asked Questions on GCF of 7224 and 7227

1. What is the GCF of 7224 and 7227?

Answer: GCF of 7224 and 7227 is 3.

2. What are the Factors of 7224?

Answer: Factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224. There are 32 integers that are factors of 7224. The greatest factor of 7224 is 7224.

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 7224 and 7227?

Answer:

Greatest Common Factor of 7224 and 7227 = 3

Step 1: Find the prime factorization of 7224

7224 = 2 x 2 x 2 x 3 x 7 x 43

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 7224 and 7227 is 3