Greatest Common Factor of 11448 and 11452

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 11448, 11452 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11448 and 11452 is 4.

GCF(11448,11452) = 4

GCF of 11448 and 11452

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

GCF of:
and

Greatest Common Factor of 11448 and 11452

GCF of 11448 and 11452 is 4

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

Prime Factorization of 11452


2 11452
2 5726
7 2863
409 409
1

Prime factors of 11452 are 2,7,409. Prime factorization of 11452 in exponential form is:

11452 = 22×71×4091

∴ So by taking common prime factors GCF of 11448 and 11452 is 4

Greatest Common Factor of 11448 and 11452 by matching factors method

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

Factors of 11452

List of positive integer factors of 11452 that divides 11452 without a remainder.

1,2,4,7,14,28,409,818,1636,2863,5726,11452

Greatest Common Factor

We found the factors and prime factorization of 11448 and 11452. The biggest common factor number is the GCF number.
So the greatest common factor 11448 and 11452 is 4.

Also check out the Least Common Multiple of 11448 and 11452

Properties of GCF 11448 and 11452

(i) The GCF of 11448 and 11452 is associative

GCF of 11448 and 11452 = GCF of 11452 and 11448

Related Greatest Common Factor of 11448

Related Greatest Common Factor of 11452

Frequently Asked Questions on GCF of 11448 and 11452

1. What is the GCF of 11448 and 11452?

Answer: GCF of 11448 and 11452 is 4.

2. 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.

3. What are the Factors of 11452?

Answer: Factors of 11452 are 1, 2, 4, 7, 14, 28, 409, 818, 1636, 2863, 5726, 11452. There are 12 integers that are factors of 11452. The greatest factor of 11452 is 11452.

4. How to Find the GCF of 11448 and 11452?

Answer:

Greatest Common Factor of 11448 and 11452 = 4

Step 1: Find the prime factorization of 11448

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

Step 2: Find the prime factorization of 11452

11452 = 2 x 2 x 7 x 409

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 11448 and 11452 is 4