Greatest Common Factor of 11358 and 11363

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 11358, 11363 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11358 and 11363 is 1.

GCF(11358,11363) = 1

GCF of 11358 and 11363

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

GCF of:
and

Greatest Common Factor of 11358 and 11363

GCF of 11358 and 11363 is 1

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

Prime Factorization of 11363


11 11363
1033 1033
1

Prime factors of 11363 are 11,1033. Prime factorization of 11363 in exponential form is:

11363 = 111×10331

∴ So by taking common prime factors GCF of 11358 and 11363 is 1

Greatest Common Factor of 11358 and 11363 by matching factors method

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

Factors of 11363

List of positive integer factors of 11363 that divides 11363 without a remainder.

1,11,1033,11363

Greatest Common Factor

We found the factors and prime factorization of 11358 and 11363. The biggest common factor number is the GCF number.
So the greatest common factor 11358 and 11363 is 1.

Also check out the Least Common Multiple of 11358 and 11363

Properties of GCF 11358 and 11363

(i) The GCF of 11358 and 11363 is associative

GCF of 11358 and 11363 = GCF of 11363 and 11358

Frequently Asked Questions on GCF of 11358 and 11363

1. What is the GCF of 11358 and 11363?

Answer: GCF of 11358 and 11363 is 1.

2. 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.

3. What are the Factors of 11363?

Answer: Factors of 11363 are 1, 11, 1033, 11363. There are 4 integers that are factors of 11363. The greatest factor of 11363 is 11363.

4. How to Find the GCF of 11358 and 11363?

Answer:

Greatest Common Factor of 11358 and 11363 = 1

Step 1: Find the prime factorization of 11358

11358 = 2 x 3 x 3 x 631

Step 2: Find the prime factorization of 11363

11363 = 11 x 1033

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 11358 and 11363 is 1