Greatest Common Factor of 11084 and 11088

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 11084, 11088 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11084 and 11088 is 4.

GCF(11084,11088) = 4

GCF of 11084 and 11088

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

GCF of:
and

Greatest Common Factor of 11084 and 11088

GCF of 11084 and 11088 is 4

Prime Factorization of 11084


2 11084
2 5542
17 2771
163 163
1

Prime factors of 11084 are 2,17,163. Prime factorization of 11084 in exponential form is:

11084 = 22×171×1631

Prime Factorization of 11088


2 11088
2 5544
2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 11088 are 2,3,7,11. Prime factorization of 11088 in exponential form is:

11088 = 24×32×71×111

∴ So by taking common prime factors GCF of 11084 and 11088 is 4

Greatest Common Factor of 11084 and 11088 by matching factors method

Factors of 11084

List of positive integer factors of 11084 that divides 11084 without a remainder.

1,2,4,17,34,68,163,326,652,2771,5542,11084

Factors of 11088

List of positive integer factors of 11088 that divides 11088 without a remainder.

1,2,3,4,6,7,8,9,11,12,14,16,18,21,22,24,28,33,36,42,44,48,56,63,66,72,77,84,88,99,112,126,132,144,154,168,176,198,231,252,264,308,336,396,462,504,528,616,693,792,924,1008,1232,1386,1584,1848,2772,3696,5544,11088

Greatest Common Factor

We found the factors and prime factorization of 11084 and 11088. The biggest common factor number is the GCF number.
So the greatest common factor 11084 and 11088 is 4.

Also check out the Least Common Multiple of 11084 and 11088

Properties of GCF 11084 and 11088

(i) The GCF of 11084 and 11088 is associative

GCF of 11084 and 11088 = GCF of 11088 and 11084

Related Greatest Common Factor of 11084

Related Greatest Common Factor of 11088

Frequently Asked Questions on GCF of 11084 and 11088

1. What is the GCF of 11084 and 11088?

Answer: GCF of 11084 and 11088 is 4.

2. What are the Factors of 11084?

Answer: Factors of 11084 are 1, 2, 4, 17, 34, 68, 163, 326, 652, 2771, 5542, 11084. There are 12 integers that are factors of 11084. The greatest factor of 11084 is 11084.

3. What are the Factors of 11088?

Answer: Factors of 11088 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 28, 33, 36, 42, 44, 48, 56, 63, 66, 72, 77, 84, 88, 99, 112, 126, 132, 144, 154, 168, 176, 198, 231, 252, 264, 308, 336, 396, 462, 504, 528, 616, 693, 792, 924, 1008, 1232, 1386, 1584, 1848, 2772, 3696, 5544, 11088. There are 60 integers that are factors of 11088. The greatest factor of 11088 is 11088.

4. How to Find the GCF of 11084 and 11088?

Answer:

Greatest Common Factor of 11084 and 11088 = 4

Step 1: Find the prime factorization of 11084

11084 = 2 x 2 x 17 x 163

Step 2: Find the prime factorization of 11088

11088 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 11084 and 11088 is 4