Greatest Common Factor of 33235 and 33240

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 33235, 33240 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33235 and 33240 is 5.

GCF(33235,33240) = 5

GCF of 33235 and 33240

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

GCF of:
and

Greatest Common Factor of 33235 and 33240

GCF of 33235 and 33240 is 5

Prime Factorization of 33235


5 33235
17 6647
17 391
23 23
1

Prime factors of 33235 are 5,17,23. Prime factorization of 33235 in exponential form is:

33235 = 51×172×231

Prime Factorization of 33240


2 33240
2 16620
2 8310
3 4155
5 1385
277 277
1

Prime factors of 33240 are 2,3,5,277. Prime factorization of 33240 in exponential form is:

33240 = 23×31×51×2771

∴ So by taking common prime factors GCF of 33235 and 33240 is 5

Greatest Common Factor of 33235 and 33240 by matching factors method

Factors of 33235

List of positive integer factors of 33235 that divides 33235 without a remainder.

1,5,17,23,85,115,289,391,1445,1955,6647,33235

Factors of 33240

List of positive integer factors of 33240 that divides 33240 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120,277,554,831,1108,1385,1662,2216,2770,3324,4155,5540,6648,8310,11080,16620,33240

Greatest Common Factor

We found the factors and prime factorization of 33235 and 33240. The biggest common factor number is the GCF number.
So the greatest common factor 33235 and 33240 is 5.

Also check out the Least Common Multiple of 33235 and 33240

Properties of GCF 33235 and 33240

(i) The GCF of 33235 and 33240 is associative

GCF of 33235 and 33240 = GCF of 33240 and 33235

Related Greatest Common Factor of 33235

Related Greatest Common Factor of 33240

Frequently Asked Questions on GCF of 33235 and 33240

1. What is the GCF of 33235 and 33240?

Answer: GCF of 33235 and 33240 is 5.

2. What are the Factors of 33235?

Answer: Factors of 33235 are 1, 5, 17, 23, 85, 115, 289, 391, 1445, 1955, 6647, 33235. There are 12 integers that are factors of 33235. The greatest factor of 33235 is 33235.

3. What are the Factors of 33240?

Answer: Factors of 33240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620, 33240. There are 32 integers that are factors of 33240. The greatest factor of 33240 is 33240.

4. How to Find the GCF of 33235 and 33240?

Answer:

Greatest Common Factor of 33235 and 33240 = 5

Step 1: Find the prime factorization of 33235

33235 = 5 x 17 x 17 x 23

Step 2: Find the prime factorization of 33240

33240 = 2 x 2 x 2 x 3 x 5 x 277

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 33235 and 33240 is 5