Greatest Common Factor of 11054 and 11058

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 11054, 11058 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11054 and 11058 is 2.

GCF(11054,11058) = 2

GCF of 11054 and 11058

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

GCF of:
and

Greatest Common Factor of 11054 and 11058

GCF of 11054 and 11058 is 2

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

Prime Factorization of 11058


2 11058
3 5529
19 1843
97 97
1

Prime factors of 11058 are 2,3,19,97. Prime factorization of 11058 in exponential form is:

11058 = 21×31×191×971

∴ So by taking common prime factors GCF of 11054 and 11058 is 2

Greatest Common Factor of 11054 and 11058 by matching factors method

Factors of 11054

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

1,2,5527,11054

Factors of 11058

List of positive integer factors of 11058 that divides 11058 without a remainder.

1,2,3,6,19,38,57,97,114,194,291,582,1843,3686,5529,11058

Greatest Common Factor

We found the factors and prime factorization of 11054 and 11058. The biggest common factor number is the GCF number.
So the greatest common factor 11054 and 11058 is 2.

Also check out the Least Common Multiple of 11054 and 11058

Properties of GCF 11054 and 11058

(i) The GCF of 11054 and 11058 is associative

GCF of 11054 and 11058 = GCF of 11058 and 11054

Related Greatest Common Factor of 11054

Related Greatest Common Factor of 11058

Frequently Asked Questions on GCF of 11054 and 11058

1. What is the GCF of 11054 and 11058?

Answer: GCF of 11054 and 11058 is 2.

2. 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.

3. What are the Factors of 11058?

Answer: Factors of 11058 are 1, 2, 3, 6, 19, 38, 57, 97, 114, 194, 291, 582, 1843, 3686, 5529, 11058. There are 16 integers that are factors of 11058. The greatest factor of 11058 is 11058.

4. How to Find the GCF of 11054 and 11058?

Answer:

Greatest Common Factor of 11054 and 11058 = 2

Step 1: Find the prime factorization of 11054

11054 = 2 x 5527

Step 2: Find the prime factorization of 11058

11058 = 2 x 3 x 19 x 97

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 11054 and 11058 is 2