Greatest Common Factor of 1224 and 1232

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 1224, 1232 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1224 and 1232 is 8.

GCF(1224,1232) = 8

GCF of 1224 and 1232

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

GCF of:
and

Greatest Common Factor of 1224 and 1232

GCF of 1224 and 1232 is 8

Prime Factorization of 1224


2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 1224 are 2,3,17. Prime factorization of 1224 in exponential form is:

1224 = 23×32×171

Prime Factorization of 1232


2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 1232 are 2,7,11. Prime factorization of 1232 in exponential form is:

1232 = 24×71×111

∴ So by taking common prime factors GCF of 1224 and 1232 is 8

Greatest Common Factor of 1224 and 1232 by matching factors method

Factors of 1224

List of positive integer factors of 1224 that divides 1224 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Greatest Common Factor

We found the factors and prime factorization of 1224 and 1232. The biggest common factor number is the GCF number.
So the greatest common factor 1224 and 1232 is 8.

Also check out the Least Common Multiple of 1224 and 1232

Properties of GCF 1224 and 1232

(i) The GCF of 1224 and 1232 is associative

GCF of 1224 and 1232 = GCF of 1232 and 1224

Related Greatest Common Factor of 1224

Related Greatest Common Factor of 1232

Frequently Asked Questions on GCF of 1224 and 1232

1. What is the GCF of 1224 and 1232?

Answer: GCF of 1224 and 1232 is 8.

2. What are the Factors of 1224?

Answer: Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. There are 24 integers that are factors of 1224. The greatest factor of 1224 is 1224.

3. What are the Factors of 1232?

Answer: Factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232. There are 20 integers that are factors of 1232. The greatest factor of 1232 is 1232.

4. How to Find the GCF of 1224 and 1232?

Answer:

Greatest Common Factor of 1224 and 1232 = 8

Step 1: Find the prime factorization of 1224

1224 = 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 1232

1232 = 2 x 2 x 2 x 2 x 7 x 11

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 1224 and 1232 is 8