Greatest Common Factor of 17224 and 17232

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 17224, 17232 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17224 and 17232 is 8.

GCF(17224,17232) = 8

GCF of 17224 and 17232

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

GCF of:
and

Greatest Common Factor of 17224 and 17232

GCF of 17224 and 17232 is 8

Prime Factorization of 17224


2 17224
2 8612
2 4306
2153 2153
1

Prime factors of 17224 are 2,2153. Prime factorization of 17224 in exponential form is:

17224 = 23×21531

Prime Factorization of 17232


2 17232
2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 17232 are 2,3,359. Prime factorization of 17232 in exponential form is:

17232 = 24×31×3591

∴ So by taking common prime factors GCF of 17224 and 17232 is 8

Greatest Common Factor of 17224 and 17232 by matching factors method

Factors of 17224

List of positive integer factors of 17224 that divides 17224 without a remainder.

1,2,4,8,2153,4306,8612,17224

Factors of 17232

List of positive integer factors of 17232 that divides 17232 without a remainder.

1,2,3,4,6,8,12,16,24,48,359,718,1077,1436,2154,2872,4308,5744,8616,17232

Greatest Common Factor

We found the factors and prime factorization of 17224 and 17232. The biggest common factor number is the GCF number.
So the greatest common factor 17224 and 17232 is 8.

Also check out the Least Common Multiple of 17224 and 17232

Properties of GCF 17224 and 17232

(i) The GCF of 17224 and 17232 is associative

GCF of 17224 and 17232 = GCF of 17232 and 17224

Related Greatest Common Factor of 17224

Related Greatest Common Factor of 17232

Frequently Asked Questions on GCF of 17224 and 17232

1. What is the GCF of 17224 and 17232?

Answer: GCF of 17224 and 17232 is 8.

2. What are the Factors of 17224?

Answer: Factors of 17224 are 1, 2, 4, 8, 2153, 4306, 8612, 17224. There are 8 integers that are factors of 17224. The greatest factor of 17224 is 17224.

3. What are the Factors of 17232?

Answer: Factors of 17232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232. There are 20 integers that are factors of 17232. The greatest factor of 17232 is 17232.

4. How to Find the GCF of 17224 and 17232?

Answer:

Greatest Common Factor of 17224 and 17232 = 8

Step 1: Find the prime factorization of 17224

17224 = 2 x 2 x 2 x 2153

Step 2: Find the prime factorization of 17232

17232 = 2 x 2 x 2 x 2 x 3 x 359

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 17224 and 17232 is 8