Greatest Common Factor of 11054 and 11062

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, 11062 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11054 and 11062 is 2.

GCF(11054,11062) = 2

GCF of 11054 and 11062

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

GCF of:
and

Greatest Common Factor of 11054 and 11062

GCF of 11054 and 11062 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 11062


2 11062
5531 5531
1

Prime factors of 11062 are 2,5531. Prime factorization of 11062 in exponential form is:

11062 = 21×55311

∴ So by taking common prime factors GCF of 11054 and 11062 is 2

Greatest Common Factor of 11054 and 11062 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 11062

List of positive integer factors of 11062 that divides 11062 without a remainder.

1,2,5531,11062

Greatest Common Factor

We found the factors and prime factorization of 11054 and 11062. The biggest common factor number is the GCF number.
So the greatest common factor 11054 and 11062 is 2.

Also check out the Least Common Multiple of 11054 and 11062

Properties of GCF 11054 and 11062

(i) The GCF of 11054 and 11062 is associative

GCF of 11054 and 11062 = GCF of 11062 and 11054

Related Greatest Common Factor of 11054

Related Greatest Common Factor of 11062

Frequently Asked Questions on GCF of 11054 and 11062

1. What is the GCF of 11054 and 11062?

Answer: GCF of 11054 and 11062 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 11062?

Answer: Factors of 11062 are 1, 2, 5531, 11062. There are 4 integers that are factors of 11062. The greatest factor of 11062 is 11062.

4. How to Find the GCF of 11054 and 11062?

Answer:

Greatest Common Factor of 11054 and 11062 = 2

Step 1: Find the prime factorization of 11054

11054 = 2 x 5527

Step 2: Find the prime factorization of 11062

11062 = 2 x 5531

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 11062 is 2