Greatest Common Factor of 33240 and 33246

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, 33246 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33240 and 33246 is 6.

GCF(33240,33246) = 6

GCF of 33240 and 33246

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

GCF of:
and

Greatest Common Factor of 33240 and 33246

GCF of 33240 and 33246 is 6

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 33246


2 33246
3 16623
3 5541
1847 1847
1

Prime factors of 33246 are 2,3,1847. Prime factorization of 33246 in exponential form is:

33246 = 21×32×18471

∴ So by taking common prime factors GCF of 33240 and 33246 is 6

Greatest Common Factor of 33240 and 33246 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 33246

List of positive integer factors of 33246 that divides 33246 without a remainder.

1,2,3,6,9,18,1847,3694,5541,11082,16623,33246

Greatest Common Factor

We found the factors and prime factorization of 33240 and 33246. The biggest common factor number is the GCF number.
So the greatest common factor 33240 and 33246 is 6.

Also check out the Least Common Multiple of 33240 and 33246

Properties of GCF 33240 and 33246

(i) The GCF of 33240 and 33246 is associative

GCF of 33240 and 33246 = GCF of 33246 and 33240

Frequently Asked Questions on GCF of 33240 and 33246

1. What is the GCF of 33240 and 33246?

Answer: GCF of 33240 and 33246 is 6.

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 33246?

Answer: Factors of 33246 are 1, 2, 3, 6, 9, 18, 1847, 3694, 5541, 11082, 16623, 33246. There are 12 integers that are factors of 33246. The greatest factor of 33246 is 33246.

4. How to Find the GCF of 33240 and 33246?

Answer:

Greatest Common Factor of 33240 and 33246 = 6

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 33246

33246 = 2 x 3 x 3 x 1847

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 33240 and 33246 is 6