Greatest Common Factor of 15216 and 15224

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 15216, 15224 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15216 and 15224 is 8.

GCF(15216,15224) = 8

GCF of 15216 and 15224

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

GCF of:
and

Greatest Common Factor of 15216 and 15224

GCF of 15216 and 15224 is 8

Prime Factorization of 15216


2 15216
2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 15216 are 2,3,317. Prime factorization of 15216 in exponential form is:

15216 = 24×31×3171

Prime Factorization of 15224


2 15224
2 7612
2 3806
11 1903
173 173
1

Prime factors of 15224 are 2,11,173. Prime factorization of 15224 in exponential form is:

15224 = 23×111×1731

∴ So by taking common prime factors GCF of 15216 and 15224 is 8

Greatest Common Factor of 15216 and 15224 by matching factors method

Factors of 15216

List of positive integer factors of 15216 that divides 15216 without a remainder.

1,2,3,4,6,8,12,16,24,48,317,634,951,1268,1902,2536,3804,5072,7608,15216

Factors of 15224

List of positive integer factors of 15224 that divides 15224 without a remainder.

1,2,4,8,11,22,44,88,173,346,692,1384,1903,3806,7612,15224

Greatest Common Factor

We found the factors and prime factorization of 15216 and 15224. The biggest common factor number is the GCF number.
So the greatest common factor 15216 and 15224 is 8.

Also check out the Least Common Multiple of 15216 and 15224

Properties of GCF 15216 and 15224

(i) The GCF of 15216 and 15224 is associative

GCF of 15216 and 15224 = GCF of 15224 and 15216

Related Greatest Common Factor of 15216

Related Greatest Common Factor of 15224

Frequently Asked Questions on GCF of 15216 and 15224

1. What is the GCF of 15216 and 15224?

Answer: GCF of 15216 and 15224 is 8.

2. What are the Factors of 15216?

Answer: Factors of 15216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216. There are 20 integers that are factors of 15216. The greatest factor of 15216 is 15216.

3. What are the Factors of 15224?

Answer: Factors of 15224 are 1, 2, 4, 8, 11, 22, 44, 88, 173, 346, 692, 1384, 1903, 3806, 7612, 15224. There are 16 integers that are factors of 15224. The greatest factor of 15224 is 15224.

4. How to Find the GCF of 15216 and 15224?

Answer:

Greatest Common Factor of 15216 and 15224 = 8

Step 1: Find the prime factorization of 15216

15216 = 2 x 2 x 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 15224

15224 = 2 x 2 x 2 x 11 x 173

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 15216 and 15224 is 8