Greatest Common Factor of 11044 and 11052

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 11044, 11052 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11044 and 11052 is 4.

GCF(11044,11052) = 4

GCF of 11044 and 11052

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

GCF of:
and

Greatest Common Factor of 11044 and 11052

GCF of 11044 and 11052 is 4

Prime Factorization of 11044


2 11044
2 5522
11 2761
251 251
1

Prime factors of 11044 are 2,11,251. Prime factorization of 11044 in exponential form is:

11044 = 22×111×2511

Prime Factorization of 11052


2 11052
2 5526
3 2763
3 921
307 307
1

Prime factors of 11052 are 2,3,307. Prime factorization of 11052 in exponential form is:

11052 = 22×32×3071

∴ So by taking common prime factors GCF of 11044 and 11052 is 4

Greatest Common Factor of 11044 and 11052 by matching factors method

Factors of 11044

List of positive integer factors of 11044 that divides 11044 without a remainder.

1,2,4,11,22,44,251,502,1004,2761,5522,11044

Factors of 11052

List of positive integer factors of 11052 that divides 11052 without a remainder.

1,2,3,4,6,9,12,18,36,307,614,921,1228,1842,2763,3684,5526,11052

Greatest Common Factor

We found the factors and prime factorization of 11044 and 11052. The biggest common factor number is the GCF number.
So the greatest common factor 11044 and 11052 is 4.

Also check out the Least Common Multiple of 11044 and 11052

Properties of GCF 11044 and 11052

(i) The GCF of 11044 and 11052 is associative

GCF of 11044 and 11052 = GCF of 11052 and 11044

Related Greatest Common Factor of 11044

Related Greatest Common Factor of 11052

Frequently Asked Questions on GCF of 11044 and 11052

1. What is the GCF of 11044 and 11052?

Answer: GCF of 11044 and 11052 is 4.

2. What are the Factors of 11044?

Answer: Factors of 11044 are 1, 2, 4, 11, 22, 44, 251, 502, 1004, 2761, 5522, 11044. There are 12 integers that are factors of 11044. The greatest factor of 11044 is 11044.

3. What are the Factors of 11052?

Answer: Factors of 11052 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 11052. There are 18 integers that are factors of 11052. The greatest factor of 11052 is 11052.

4. How to Find the GCF of 11044 and 11052?

Answer:

Greatest Common Factor of 11044 and 11052 = 4

Step 1: Find the prime factorization of 11044

11044 = 2 x 2 x 11 x 251

Step 2: Find the prime factorization of 11052

11052 = 2 x 2 x 3 x 3 x 307

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 11044 and 11052 is 4