Greatest Common Factor of 11042 and 11050

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 11042, 11050 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11042 and 11050 is 2.

GCF(11042,11050) = 2

GCF of 11042 and 11050

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

GCF of:
and

Greatest Common Factor of 11042 and 11050

GCF of 11042 and 11050 is 2

Prime Factorization of 11042


2 11042
5521 5521
1

Prime factors of 11042 are 2,5521. Prime factorization of 11042 in exponential form is:

11042 = 21×55211

Prime Factorization of 11050


2 11050
5 5525
5 1105
13 221
17 17
1

Prime factors of 11050 are 2,5,13,17. Prime factorization of 11050 in exponential form is:

11050 = 21×52×131×171

∴ So by taking common prime factors GCF of 11042 and 11050 is 2

Greatest Common Factor of 11042 and 11050 by matching factors method

Factors of 11042

List of positive integer factors of 11042 that divides 11042 without a remainder.

1,2,5521,11042

Factors of 11050

List of positive integer factors of 11050 that divides 11050 without a remainder.

1,2,5,10,13,17,25,26,34,50,65,85,130,170,221,325,425,442,650,850,1105,2210,5525,11050

Greatest Common Factor

We found the factors and prime factorization of 11042 and 11050. The biggest common factor number is the GCF number.
So the greatest common factor 11042 and 11050 is 2.

Also check out the Least Common Multiple of 11042 and 11050

Properties of GCF 11042 and 11050

(i) The GCF of 11042 and 11050 is associative

GCF of 11042 and 11050 = GCF of 11050 and 11042

Related Greatest Common Factor of 11042

Related Greatest Common Factor of 11050

Frequently Asked Questions on GCF of 11042 and 11050

1. What is the GCF of 11042 and 11050?

Answer: GCF of 11042 and 11050 is 2.

2. What are the Factors of 11042?

Answer: Factors of 11042 are 1, 2, 5521, 11042. There are 4 integers that are factors of 11042. The greatest factor of 11042 is 11042.

3. What are the Factors of 11050?

Answer: Factors of 11050 are 1, 2, 5, 10, 13, 17, 25, 26, 34, 50, 65, 85, 130, 170, 221, 325, 425, 442, 650, 850, 1105, 2210, 5525, 11050. There are 24 integers that are factors of 11050. The greatest factor of 11050 is 11050.

4. How to Find the GCF of 11042 and 11050?

Answer:

Greatest Common Factor of 11042 and 11050 = 2

Step 1: Find the prime factorization of 11042

11042 = 2 x 5521

Step 2: Find the prime factorization of 11050

11050 = 2 x 5 x 5 x 13 x 17

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 11042 and 11050 is 2