Greatest Common Factor of 11305 and 11312

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 11305, 11312 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11305 and 11312 is 7.

GCF(11305,11312) = 7

GCF of 11305 and 11312

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

GCF of:
and

Greatest Common Factor of 11305 and 11312

GCF of 11305 and 11312 is 7

Prime Factorization of 11305


5 11305
7 2261
17 323
19 19
1

Prime factors of 11305 are 5,7,17,19. Prime factorization of 11305 in exponential form is:

11305 = 51×71×171×191

Prime Factorization of 11312


2 11312
2 5656
2 2828
2 1414
7 707
101 101
1

Prime factors of 11312 are 2,7,101. Prime factorization of 11312 in exponential form is:

11312 = 24×71×1011

∴ So by taking common prime factors GCF of 11305 and 11312 is 7

Greatest Common Factor of 11305 and 11312 by matching factors method

Factors of 11305

List of positive integer factors of 11305 that divides 11305 without a remainder.

1,5,7,17,19,35,85,95,119,133,323,595,665,1615,2261,11305

Factors of 11312

List of positive integer factors of 11312 that divides 11312 without a remainder.

1,2,4,7,8,14,16,28,56,101,112,202,404,707,808,1414,1616,2828,5656,11312

Greatest Common Factor

We found the factors and prime factorization of 11305 and 11312. The biggest common factor number is the GCF number.
So the greatest common factor 11305 and 11312 is 7.

Also check out the Least Common Multiple of 11305 and 11312

Properties of GCF 11305 and 11312

(i) The GCF of 11305 and 11312 is associative

GCF of 11305 and 11312 = GCF of 11312 and 11305

Related Greatest Common Factor of 11305

Related Greatest Common Factor of 11312

Frequently Asked Questions on GCF of 11305 and 11312

1. What is the GCF of 11305 and 11312?

Answer: GCF of 11305 and 11312 is 7.

2. What are the Factors of 11305?

Answer: Factors of 11305 are 1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261, 11305. There are 16 integers that are factors of 11305. The greatest factor of 11305 is 11305.

3. What are the Factors of 11312?

Answer: Factors of 11312 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 101, 112, 202, 404, 707, 808, 1414, 1616, 2828, 5656, 11312. There are 20 integers that are factors of 11312. The greatest factor of 11312 is 11312.

4. How to Find the GCF of 11305 and 11312?

Answer:

Greatest Common Factor of 11305 and 11312 = 7

Step 1: Find the prime factorization of 11305

11305 = 5 x 7 x 17 x 19

Step 2: Find the prime factorization of 11312

11312 = 2 x 2 x 2 x 2 x 7 x 101

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

GCF = 7

Step 4: Therefore, the greatest common factor of 11305 and 11312 is 7