Greatest Common Factor of 2232 and 2240

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 2232, 2240 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2232 and 2240 is 8.

GCF(2232,2240) = 8

GCF of 2232 and 2240

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

GCF of:
and

Greatest Common Factor of 2232 and 2240

GCF of 2232 and 2240 is 8

Prime Factorization of 2232


2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 2232 are 2,3,31. Prime factorization of 2232 in exponential form is:

2232 = 23×32×311

Prime Factorization of 2240


2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 2240 are 2,5,7. Prime factorization of 2240 in exponential form is:

2240 = 26×51×71

∴ So by taking common prime factors GCF of 2232 and 2240 is 8

Greatest Common Factor of 2232 and 2240 by matching factors method

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232

Factors of 2240

List of positive integer factors of 2240 that divides 2240 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240

Greatest Common Factor

We found the factors and prime factorization of 2232 and 2240. The biggest common factor number is the GCF number.
So the greatest common factor 2232 and 2240 is 8.

Also check out the Least Common Multiple of 2232 and 2240

Properties of GCF 2232 and 2240

(i) The GCF of 2232 and 2240 is associative

GCF of 2232 and 2240 = GCF of 2240 and 2232

Related Greatest Common Factor of 2232

Related Greatest Common Factor of 2240

Frequently Asked Questions on GCF of 2232 and 2240

1. What is the GCF of 2232 and 2240?

Answer: GCF of 2232 and 2240 is 8.

2. What are the Factors of 2232?

Answer: Factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232. There are 24 integers that are factors of 2232. The greatest factor of 2232 is 2232.

3. What are the Factors of 2240?

Answer: Factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240. There are 28 integers that are factors of 2240. The greatest factor of 2240 is 2240.

4. How to Find the GCF of 2232 and 2240?

Answer:

Greatest Common Factor of 2232 and 2240 = 8

Step 1: Find the prime factorization of 2232

2232 = 2 x 2 x 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 2240

2240 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

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 2232 and 2240 is 8