Greatest Common Factor of 11440 and 11448

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 11440, 11448 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11440 and 11448 is 8.

GCF(11440,11448) = 8

GCF of 11440 and 11448

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

GCF of:
and

Greatest Common Factor of 11440 and 11448

GCF of 11440 and 11448 is 8

Prime Factorization of 11440


2 11440
2 5720
2 2860
2 1430
5 715
11 143
13 13
1

Prime factors of 11440 are 2,5,11,13. Prime factorization of 11440 in exponential form is:

11440 = 24×51×111×131

Prime Factorization of 11448


2 11448
2 5724
2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 11448 are 2,3,53. Prime factorization of 11448 in exponential form is:

11448 = 23×33×531

∴ So by taking common prime factors GCF of 11440 and 11448 is 8

Greatest Common Factor of 11440 and 11448 by matching factors method

Factors of 11440

List of positive integer factors of 11440 that divides 11440 without a remainder.

1,2,4,5,8,10,11,13,16,20,22,26,40,44,52,55,65,80,88,104,110,130,143,176,208,220,260,286,440,520,572,715,880,1040,1144,1430,2288,2860,5720,11440

Factors of 11448

List of positive integer factors of 11448 that divides 11448 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,53,54,72,106,108,159,212,216,318,424,477,636,954,1272,1431,1908,2862,3816,5724,11448

Greatest Common Factor

We found the factors and prime factorization of 11440 and 11448. The biggest common factor number is the GCF number.
So the greatest common factor 11440 and 11448 is 8.

Also check out the Least Common Multiple of 11440 and 11448

Properties of GCF 11440 and 11448

(i) The GCF of 11440 and 11448 is associative

GCF of 11440 and 11448 = GCF of 11448 and 11440

Related Greatest Common Factor of 11440

Related Greatest Common Factor of 11448

Frequently Asked Questions on GCF of 11440 and 11448

1. What is the GCF of 11440 and 11448?

Answer: GCF of 11440 and 11448 is 8.

2. What are the Factors of 11440?

Answer: Factors of 11440 are 1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 176, 208, 220, 260, 286, 440, 520, 572, 715, 880, 1040, 1144, 1430, 2288, 2860, 5720, 11440. There are 40 integers that are factors of 11440. The greatest factor of 11440 is 11440.

3. What are the Factors of 11448?

Answer: Factors of 11448 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 53, 54, 72, 106, 108, 159, 212, 216, 318, 424, 477, 636, 954, 1272, 1431, 1908, 2862, 3816, 5724, 11448. There are 32 integers that are factors of 11448. The greatest factor of 11448 is 11448.

4. How to Find the GCF of 11440 and 11448?

Answer:

Greatest Common Factor of 11440 and 11448 = 8

Step 1: Find the prime factorization of 11440

11440 = 2 x 2 x 2 x 2 x 5 x 11 x 13

Step 2: Find the prime factorization of 11448

11448 = 2 x 2 x 2 x 3 x 3 x 3 x 53

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 11440 and 11448 is 8