Greatest Common Factor of 11436 and 11440

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 11436, 11440 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11436 and 11440 is 4.

GCF(11436,11440) = 4

GCF of 11436 and 11440

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

GCF of:
and

Greatest Common Factor of 11436 and 11440

GCF of 11436 and 11440 is 4

Prime Factorization of 11436


2 11436
2 5718
3 2859
953 953
1

Prime factors of 11436 are 2,3,953. Prime factorization of 11436 in exponential form is:

11436 = 22×31×9531

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

∴ So by taking common prime factors GCF of 11436 and 11440 is 4

Greatest Common Factor of 11436 and 11440 by matching factors method

Factors of 11436

List of positive integer factors of 11436 that divides 11436 without a remainder.

1,2,3,4,6,12,953,1906,2859,3812,5718,11436

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

Greatest Common Factor

We found the factors and prime factorization of 11436 and 11440. The biggest common factor number is the GCF number.
So the greatest common factor 11436 and 11440 is 4.

Also check out the Least Common Multiple of 11436 and 11440

Properties of GCF 11436 and 11440

(i) The GCF of 11436 and 11440 is associative

GCF of 11436 and 11440 = GCF of 11440 and 11436

Related Greatest Common Factor of 11436

Related Greatest Common Factor of 11440

Frequently Asked Questions on GCF of 11436 and 11440

1. What is the GCF of 11436 and 11440?

Answer: GCF of 11436 and 11440 is 4.

2. What are the Factors of 11436?

Answer: Factors of 11436 are 1, 2, 3, 4, 6, 12, 953, 1906, 2859, 3812, 5718, 11436. There are 12 integers that are factors of 11436. The greatest factor of 11436 is 11436.

3. 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.

4. How to Find the GCF of 11436 and 11440?

Answer:

Greatest Common Factor of 11436 and 11440 = 4

Step 1: Find the prime factorization of 11436

11436 = 2 x 2 x 3 x 953

Step 2: Find the prime factorization of 11440

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 11436 and 11440 is 4