Greatest Common Factor of 7216 and 7224

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 7216, 7224 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7216 and 7224 is 8.

GCF(7216,7224) = 8

GCF of 7216 and 7224

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

GCF of:
and

Greatest Common Factor of 7216 and 7224

GCF of 7216 and 7224 is 8

Prime Factorization of 7216


2 7216
2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 7216 are 2,11,41. Prime factorization of 7216 in exponential form is:

7216 = 24×111×411

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

∴ So by taking common prime factors GCF of 7216 and 7224 is 8

Greatest Common Factor of 7216 and 7224 by matching factors method

Factors of 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216

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

Greatest Common Factor

We found the factors and prime factorization of 7216 and 7224. The biggest common factor number is the GCF number.
So the greatest common factor 7216 and 7224 is 8.

Also check out the Least Common Multiple of 7216 and 7224

Properties of GCF 7216 and 7224

(i) The GCF of 7216 and 7224 is associative

GCF of 7216 and 7224 = GCF of 7224 and 7216

Related Greatest Common Factor of 7216

Related Greatest Common Factor of 7224

Frequently Asked Questions on GCF of 7216 and 7224

1. What is the GCF of 7216 and 7224?

Answer: GCF of 7216 and 7224 is 8.

2. What are the Factors of 7216?

Answer: Factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216. There are 20 integers that are factors of 7216. The greatest factor of 7216 is 7216.

3. 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.

4. How to Find the GCF of 7216 and 7224?

Answer:

Greatest Common Factor of 7216 and 7224 = 8

Step 1: Find the prime factorization of 7216

7216 = 2 x 2 x 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 7224

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7216 and 7224 is 8