Greatest Common Factor of 7224 and 7232

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, 7232 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7224 and 7232 is 8.

GCF(7224,7232) = 8

GCF of 7224 and 7232

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

GCF of:
and

Greatest Common Factor of 7224 and 7232

GCF of 7224 and 7232 is 8

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 7232


2 7232
2 3616
2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 7232 are 2,113. Prime factorization of 7232 in exponential form is:

7232 = 26×1131

∴ So by taking common prime factors GCF of 7224 and 7232 is 8

Greatest Common Factor of 7224 and 7232 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 7232

List of positive integer factors of 7232 that divides 7232 without a remainder.

1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232

Greatest Common Factor

We found the factors and prime factorization of 7224 and 7232. The biggest common factor number is the GCF number.
So the greatest common factor 7224 and 7232 is 8.

Also check out the Least Common Multiple of 7224 and 7232

Properties of GCF 7224 and 7232

(i) The GCF of 7224 and 7232 is associative

GCF of 7224 and 7232 = GCF of 7232 and 7224

Related Greatest Common Factor of 7224

Related Greatest Common Factor of 7232

Frequently Asked Questions on GCF of 7224 and 7232

1. What is the GCF of 7224 and 7232?

Answer: GCF of 7224 and 7232 is 8.

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 7232?

Answer: Factors of 7232 are 1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232. There are 14 integers that are factors of 7232. The greatest factor of 7232 is 7232.

4. How to Find the GCF of 7224 and 7232?

Answer:

Greatest Common Factor of 7224 and 7232 = 8

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 7232

7232 = 2 x 2 x 2 x 2 x 2 x 2 x 113

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 7224 and 7232 is 8