Greatest Common Factor of 11048 and 11054

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, 11054 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11048 and 11054 is 2.

GCF(11048,11054) = 2

GCF of 11048 and 11054

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

GCF of:
and

Greatest Common Factor of 11048 and 11054

GCF of 11048 and 11054 is 2

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 11054


2 11054
5527 5527
1

Prime factors of 11054 are 2,5527. Prime factorization of 11054 in exponential form is:

11054 = 21×55271

∴ So by taking common prime factors GCF of 11048 and 11054 is 2

Greatest Common Factor of 11048 and 11054 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 11054

List of positive integer factors of 11054 that divides 11054 without a remainder.

1,2,5527,11054

Greatest Common Factor

We found the factors and prime factorization of 11048 and 11054. The biggest common factor number is the GCF number.
So the greatest common factor 11048 and 11054 is 2.

Also check out the Least Common Multiple of 11048 and 11054

Properties of GCF 11048 and 11054

(i) The GCF of 11048 and 11054 is associative

GCF of 11048 and 11054 = GCF of 11054 and 11048

Related Greatest Common Factor of 11048

Related Greatest Common Factor of 11054

Frequently Asked Questions on GCF of 11048 and 11054

1. What is the GCF of 11048 and 11054?

Answer: GCF of 11048 and 11054 is 2.

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 11054?

Answer: Factors of 11054 are 1, 2, 5527, 11054. There are 4 integers that are factors of 11054. The greatest factor of 11054 is 11054.

4. How to Find the GCF of 11048 and 11054?

Answer:

Greatest Common Factor of 11048 and 11054 = 2

Step 1: Find the prime factorization of 11048

11048 = 2 x 2 x 2 x 1381

Step 2: Find the prime factorization of 11054

11054 = 2 x 5527

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

GCF = 2

Step 4: Therefore, the greatest common factor of 11048 and 11054 is 2