Greatest Common Factor of 11312 and 11320

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 11312, 11320 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11312 and 11320 is 8.

GCF(11312,11320) = 8

GCF of 11312 and 11320

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

GCF of:
and

Greatest Common Factor of 11312 and 11320

GCF of 11312 and 11320 is 8

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

Prime Factorization of 11320


2 11320
2 5660
2 2830
5 1415
283 283
1

Prime factors of 11320 are 2,5,283. Prime factorization of 11320 in exponential form is:

11320 = 23×51×2831

∴ So by taking common prime factors GCF of 11312 and 11320 is 8

Greatest Common Factor of 11312 and 11320 by matching factors method

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

Factors of 11320

List of positive integer factors of 11320 that divides 11320 without a remainder.

1,2,4,5,8,10,20,40,283,566,1132,1415,2264,2830,5660,11320

Greatest Common Factor

We found the factors and prime factorization of 11312 and 11320. The biggest common factor number is the GCF number.
So the greatest common factor 11312 and 11320 is 8.

Also check out the Least Common Multiple of 11312 and 11320

Properties of GCF 11312 and 11320

(i) The GCF of 11312 and 11320 is associative

GCF of 11312 and 11320 = GCF of 11320 and 11312

Related Greatest Common Factor of 11312

Related Greatest Common Factor of 11320

Frequently Asked Questions on GCF of 11312 and 11320

1. What is the GCF of 11312 and 11320?

Answer: GCF of 11312 and 11320 is 8.

2. 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.

3. What are the Factors of 11320?

Answer: Factors of 11320 are 1, 2, 4, 5, 8, 10, 20, 40, 283, 566, 1132, 1415, 2264, 2830, 5660, 11320. There are 16 integers that are factors of 11320. The greatest factor of 11320 is 11320.

4. How to Find the GCF of 11312 and 11320?

Answer:

Greatest Common Factor of 11312 and 11320 = 8

Step 1: Find the prime factorization of 11312

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

Step 2: Find the prime factorization of 11320

11320 = 2 x 2 x 2 x 5 x 283

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 11312 and 11320 is 8