Greatest Common Factor of 11350 and 11358

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 11350, 11358 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11350 and 11358 is 2.

GCF(11350,11358) = 2

GCF of 11350 and 11358

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

GCF of:
and

Greatest Common Factor of 11350 and 11358

GCF of 11350 and 11358 is 2

Prime Factorization of 11350


2 11350
5 5675
5 1135
227 227
1

Prime factors of 11350 are 2,5,227. Prime factorization of 11350 in exponential form is:

11350 = 21×52×2271

Prime Factorization of 11358


2 11358
3 5679
3 1893
631 631
1

Prime factors of 11358 are 2,3,631. Prime factorization of 11358 in exponential form is:

11358 = 21×32×6311

∴ So by taking common prime factors GCF of 11350 and 11358 is 2

Greatest Common Factor of 11350 and 11358 by matching factors method

Factors of 11350

List of positive integer factors of 11350 that divides 11350 without a remainder.

1,2,5,10,25,50,227,454,1135,2270,5675,11350

Factors of 11358

List of positive integer factors of 11358 that divides 11358 without a remainder.

1,2,3,6,9,18,631,1262,1893,3786,5679,11358

Greatest Common Factor

We found the factors and prime factorization of 11350 and 11358. The biggest common factor number is the GCF number.
So the greatest common factor 11350 and 11358 is 2.

Also check out the Least Common Multiple of 11350 and 11358

Properties of GCF 11350 and 11358

(i) The GCF of 11350 and 11358 is associative

GCF of 11350 and 11358 = GCF of 11358 and 11350

Related Greatest Common Factor of 11350

Related Greatest Common Factor of 11358

Frequently Asked Questions on GCF of 11350 and 11358

1. What is the GCF of 11350 and 11358?

Answer: GCF of 11350 and 11358 is 2.

2. What are the Factors of 11350?

Answer: Factors of 11350 are 1, 2, 5, 10, 25, 50, 227, 454, 1135, 2270, 5675, 11350. There are 12 integers that are factors of 11350. The greatest factor of 11350 is 11350.

3. What are the Factors of 11358?

Answer: Factors of 11358 are 1, 2, 3, 6, 9, 18, 631, 1262, 1893, 3786, 5679, 11358. There are 12 integers that are factors of 11358. The greatest factor of 11358 is 11358.

4. How to Find the GCF of 11350 and 11358?

Answer:

Greatest Common Factor of 11350 and 11358 = 2

Step 1: Find the prime factorization of 11350

11350 = 2 x 5 x 5 x 227

Step 2: Find the prime factorization of 11358

11358 = 2 x 3 x 3 x 631

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 11350 and 11358 is 2