Greatest Common Factor of 11035 and 11040

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 11035, 11040 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11035 and 11040 is 5.

GCF(11035,11040) = 5

GCF of 11035 and 11040

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

GCF of:
and

Greatest Common Factor of 11035 and 11040

GCF of 11035 and 11040 is 5

Prime Factorization of 11035


5 11035
2207 2207
1

Prime factors of 11035 are 5,2207. Prime factorization of 11035 in exponential form is:

11035 = 51×22071

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

∴ So by taking common prime factors GCF of 11035 and 11040 is 5

Greatest Common Factor of 11035 and 11040 by matching factors method

Factors of 11035

List of positive integer factors of 11035 that divides 11035 without a remainder.

1,5,2207,11035

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

Greatest Common Factor

We found the factors and prime factorization of 11035 and 11040. The biggest common factor number is the GCF number.
So the greatest common factor 11035 and 11040 is 5.

Also check out the Least Common Multiple of 11035 and 11040

Properties of GCF 11035 and 11040

(i) The GCF of 11035 and 11040 is associative

GCF of 11035 and 11040 = GCF of 11040 and 11035

Related Greatest Common Factor of 11035

Related Greatest Common Factor of 11040

Frequently Asked Questions on GCF of 11035 and 11040

1. What is the GCF of 11035 and 11040?

Answer: GCF of 11035 and 11040 is 5.

2. What are the Factors of 11035?

Answer: Factors of 11035 are 1, 5, 2207, 11035. There are 4 integers that are factors of 11035. The greatest factor of 11035 is 11035.

3. 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.

4. How to Find the GCF of 11035 and 11040?

Answer:

Greatest Common Factor of 11035 and 11040 = 5

Step 1: Find the prime factorization of 11035

11035 = 5 x 2207

Step 2: Find the prime factorization of 11040

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 11035 and 11040 is 5