Greatest Common Factor of 11309 and 11316

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 11309, 11316 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11309 and 11316 is 1.

GCF(11309,11316) = 1

GCF of 11309 and 11316

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

GCF of:
and

Greatest Common Factor of 11309 and 11316

GCF of 11309 and 11316 is 1

Prime Factorization of 11309


43 11309
263 263
1

Prime factors of 11309 are 43,263. Prime factorization of 11309 in exponential form is:

11309 = 431×2631

Prime Factorization of 11316


2 11316
2 5658
3 2829
23 943
41 41
1

Prime factors of 11316 are 2,3,23,41. Prime factorization of 11316 in exponential form is:

11316 = 22×31×231×411

∴ So by taking common prime factors GCF of 11309 and 11316 is 1

Greatest Common Factor of 11309 and 11316 by matching factors method

Factors of 11309

List of positive integer factors of 11309 that divides 11309 without a remainder.

1,43,263,11309

Factors of 11316

List of positive integer factors of 11316 that divides 11316 without a remainder.

1,2,3,4,6,12,23,41,46,69,82,92,123,138,164,246,276,492,943,1886,2829,3772,5658,11316

Greatest Common Factor

We found the factors and prime factorization of 11309 and 11316. The biggest common factor number is the GCF number.
So the greatest common factor 11309 and 11316 is 1.

Also check out the Least Common Multiple of 11309 and 11316

Properties of GCF 11309 and 11316

(i) The GCF of 11309 and 11316 is associative

GCF of 11309 and 11316 = GCF of 11316 and 11309

Related Greatest Common Factor of 11309

Related Greatest Common Factor of 11316

Frequently Asked Questions on GCF of 11309 and 11316

1. What is the GCF of 11309 and 11316?

Answer: GCF of 11309 and 11316 is 1.

2. What are the Factors of 11309?

Answer: Factors of 11309 are 1, 43, 263, 11309. There are 4 integers that are factors of 11309. The greatest factor of 11309 is 11309.

3. What are the Factors of 11316?

Answer: Factors of 11316 are 1, 2, 3, 4, 6, 12, 23, 41, 46, 69, 82, 92, 123, 138, 164, 246, 276, 492, 943, 1886, 2829, 3772, 5658, 11316. There are 24 integers that are factors of 11316. The greatest factor of 11316 is 11316.

4. How to Find the GCF of 11309 and 11316?

Answer:

Greatest Common Factor of 11309 and 11316 = 1

Step 1: Find the prime factorization of 11309

11309 = 43 x 263

Step 2: Find the prime factorization of 11316

11316 = 2 x 2 x 3 x 23 x 41

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 11309 and 11316 is 1