Greatest Common Factor of 33240 and 33245

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 33240, 33245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33240 and 33245 is 5.

GCF(33240,33245) = 5

GCF of 33240 and 33245

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

GCF of:
and

Greatest Common Factor of 33240 and 33245

GCF of 33240 and 33245 is 5

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

Prime Factorization of 33245


5 33245
61 6649
109 109
1

Prime factors of 33245 are 5,61,109. Prime factorization of 33245 in exponential form is:

33245 = 51×611×1091

∴ So by taking common prime factors GCF of 33240 and 33245 is 5

Greatest Common Factor of 33240 and 33245 by matching factors method

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

Factors of 33245

List of positive integer factors of 33245 that divides 33245 without a remainder.

1,5,61,109,305,545,6649,33245

Greatest Common Factor

We found the factors and prime factorization of 33240 and 33245. The biggest common factor number is the GCF number.
So the greatest common factor 33240 and 33245 is 5.

Also check out the Least Common Multiple of 33240 and 33245

Properties of GCF 33240 and 33245

(i) The GCF of 33240 and 33245 is associative

GCF of 33240 and 33245 = GCF of 33245 and 33240

Related Greatest Common Factor of 33240

Related Greatest Common Factor of 33245

Frequently Asked Questions on GCF of 33240 and 33245

1. What is the GCF of 33240 and 33245?

Answer: GCF of 33240 and 33245 is 5.

2. 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.

3. What are the Factors of 33245?

Answer: Factors of 33245 are 1, 5, 61, 109, 305, 545, 6649, 33245. There are 8 integers that are factors of 33245. The greatest factor of 33245 is 33245.

4. How to Find the GCF of 33240 and 33245?

Answer:

Greatest Common Factor of 33240 and 33245 = 5

Step 1: Find the prime factorization of 33240

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

Step 2: Find the prime factorization of 33245

33245 = 5 x 61 x 109

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 33240 and 33245 is 5