Greatest Common Factor of 11040 and 11048

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 11040, 11048 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11040 and 11048 is 8.

GCF(11040,11048) = 8

GCF of 11040 and 11048

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

GCF of:
and

Greatest Common Factor of 11040 and 11048

GCF of 11040 and 11048 is 8

Prime Factorization of 11040


2 11040
2 5520
2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 11040 are 2,3,5,23. Prime factorization of 11040 in exponential form is:

11040 = 25×31×51×231

Prime Factorization of 11048


2 11048
2 5524
2 2762
1381 1381
1

Prime factors of 11048 are 2,1381. Prime factorization of 11048 in exponential form is:

11048 = 23×13811

∴ So by taking common prime factors GCF of 11040 and 11048 is 8

Greatest Common Factor of 11040 and 11048 by matching factors method

Factors of 11040

List of positive integer factors of 11040 that divides 11040 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,32,40,46,48,60,69,80,92,96,115,120,138,160,184,230,240,276,345,368,460,480,552,690,736,920,1104,1380,1840,2208,2760,3680,5520,11040

Factors of 11048

List of positive integer factors of 11048 that divides 11048 without a remainder.

1,2,4,8,1381,2762,5524,11048

Greatest Common Factor

We found the factors and prime factorization of 11040 and 11048. The biggest common factor number is the GCF number.
So the greatest common factor 11040 and 11048 is 8.

Also check out the Least Common Multiple of 11040 and 11048

Properties of GCF 11040 and 11048

(i) The GCF of 11040 and 11048 is associative

GCF of 11040 and 11048 = GCF of 11048 and 11040

Related Greatest Common Factor of 11040

Related Greatest Common Factor of 11048

Frequently Asked Questions on GCF of 11040 and 11048

1. What is the GCF of 11040 and 11048?

Answer: GCF of 11040 and 11048 is 8.

2. What are the Factors of 11040?

Answer: Factors of 11040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520, 11040. There are 48 integers that are factors of 11040. The greatest factor of 11040 is 11040.

3. What are the Factors of 11048?

Answer: Factors of 11048 are 1, 2, 4, 8, 1381, 2762, 5524, 11048. There are 8 integers that are factors of 11048. The greatest factor of 11048 is 11048.

4. How to Find the GCF of 11040 and 11048?

Answer:

Greatest Common Factor of 11040 and 11048 = 8

Step 1: Find the prime factorization of 11040

11040 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 11048

11048 = 2 x 2 x 2 x 1381

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 11040 and 11048 is 8