Greatest Common Factor of 7224 and 7231

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, 7231 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7224 and 7231 is 7.

GCF(7224,7231) = 7

GCF of 7224 and 7231

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

GCF of:
and

Greatest Common Factor of 7224 and 7231

GCF of 7224 and 7231 is 7

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 7231


7 7231
1033 1033
1

Prime factors of 7231 are 7,1033. Prime factorization of 7231 in exponential form is:

7231 = 71×10331

∴ So by taking common prime factors GCF of 7224 and 7231 is 7

Greatest Common Factor of 7224 and 7231 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 7231

List of positive integer factors of 7231 that divides 7231 without a remainder.

1,7,1033,7231

Greatest Common Factor

We found the factors and prime factorization of 7224 and 7231. The biggest common factor number is the GCF number.
So the greatest common factor 7224 and 7231 is 7.

Also check out the Least Common Multiple of 7224 and 7231

Properties of GCF 7224 and 7231

(i) The GCF of 7224 and 7231 is associative

GCF of 7224 and 7231 = GCF of 7231 and 7224

Related Greatest Common Factor of 7224

Related Greatest Common Factor of 7231

Frequently Asked Questions on GCF of 7224 and 7231

1. What is the GCF of 7224 and 7231?

Answer: GCF of 7224 and 7231 is 7.

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 7231?

Answer: Factors of 7231 are 1, 7, 1033, 7231. There are 4 integers that are factors of 7231. The greatest factor of 7231 is 7231.

4. How to Find the GCF of 7224 and 7231?

Answer:

Greatest Common Factor of 7224 and 7231 = 7

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 7231

7231 = 7 x 1033

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7224 and 7231 is 7