Greatest Common Factor of 11048 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 11048, 11052 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11048 and 11052 is 4.

GCF(11048,11052) = 4

GCF of 11048 and 11052

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

GCF of:
and

Greatest Common Factor of 11048 and 11052

GCF of 11048 and 11052 is 4

Prime Factorization of 11048


2 11048
2 5524
2 2762
1381 1381
1

Prime factors of 11048 are 2,1381. Prime factorization of 11048 in exponential form is:

11048 = 23×13811

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 11048 and 11052 is 4

Greatest Common Factor of 11048 and 11052 by matching factors method

Factors of 11048

List of positive integer factors of 11048 that divides 11048 without a remainder.

1,2,4,8,1381,2762,5524,11048

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 11048 and 11052. The biggest common factor number is the GCF number.
So the greatest common factor 11048 and 11052 is 4.

Also check out the Least Common Multiple of 11048 and 11052

Properties of GCF 11048 and 11052

(i) The GCF of 11048 and 11052 is associative

GCF of 11048 and 11052 = GCF of 11052 and 11048

Related Greatest Common Factor of 11048

Related Greatest Common Factor of 11052

Frequently Asked Questions on GCF of 11048 and 11052

1. What is the GCF of 11048 and 11052?

Answer: GCF of 11048 and 11052 is 4.

2. What are the Factors of 11048?

Answer: Factors of 11048 are 1, 2, 4, 8, 1381, 2762, 5524, 11048. There are 8 integers that are factors of 11048. The greatest factor of 11048 is 11048.

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 11048 and 11052?

Answer:

Greatest Common Factor of 11048 and 11052 = 4

Step 1: Find the prime factorization of 11048

11048 = 2 x 2 x 2 x 1381

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 11048 and 11052 is 4