Greatest Common Factor of 22440 and 22446

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 22440, 22446 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 22440 and 22446 is 6.

GCF(22440,22446) = 6

GCF of 22440 and 22446

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

GCF of:
and

Greatest Common Factor of 22440 and 22446

GCF of 22440 and 22446 is 6

Prime Factorization of 22440


2 22440
2 11220
2 5610
3 2805
5 935
11 187
17 17
1

Prime factors of 22440 are 2,3,5,11,17. Prime factorization of 22440 in exponential form is:

22440 = 23×31×51×111×171

Prime Factorization of 22446


2 22446
3 11223
3 3741
29 1247
43 43
1

Prime factors of 22446 are 2,3,29,43. Prime factorization of 22446 in exponential form is:

22446 = 21×32×291×431

∴ So by taking common prime factors GCF of 22440 and 22446 is 6

Greatest Common Factor of 22440 and 22446 by matching factors method

Factors of 22440

List of positive integer factors of 22440 that divides 22440 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,17,20,22,24,30,33,34,40,44,51,55,60,66,68,85,88,102,110,120,132,136,165,170,187,204,220,255,264,330,340,374,408,440,510,561,660,680,748,935,1020,1122,1320,1496,1870,2040,2244,2805,3740,4488,5610,7480,11220,22440

Factors of 22446

List of positive integer factors of 22446 that divides 22446 without a remainder.

1,2,3,6,9,18,29,43,58,86,87,129,174,258,261,387,522,774,1247,2494,3741,7482,11223,22446

Greatest Common Factor

We found the factors and prime factorization of 22440 and 22446. The biggest common factor number is the GCF number.
So the greatest common factor 22440 and 22446 is 6.

Also check out the Least Common Multiple of 22440 and 22446

Properties of GCF 22440 and 22446

(i) The GCF of 22440 and 22446 is associative

GCF of 22440 and 22446 = GCF of 22446 and 22440

Related Greatest Common Factor of 22440

Related Greatest Common Factor of 22446

Frequently Asked Questions on GCF of 22440 and 22446

1. What is the GCF of 22440 and 22446?

Answer: GCF of 22440 and 22446 is 6.

2. What are the Factors of 22440?

Answer: Factors of 22440 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 17, 20, 22, 24, 30, 33, 34, 40, 44, 51, 55, 60, 66, 68, 85, 88, 102, 110, 120, 132, 136, 165, 170, 187, 204, 220, 255, 264, 330, 340, 374, 408, 440, 510, 561, 660, 680, 748, 935, 1020, 1122, 1320, 1496, 1870, 2040, 2244, 2805, 3740, 4488, 5610, 7480, 11220, 22440. There are 64 integers that are factors of 22440. The greatest factor of 22440 is 22440.

3. What are the Factors of 22446?

Answer: Factors of 22446 are 1, 2, 3, 6, 9, 18, 29, 43, 58, 86, 87, 129, 174, 258, 261, 387, 522, 774, 1247, 2494, 3741, 7482, 11223, 22446. There are 24 integers that are factors of 22446. The greatest factor of 22446 is 22446.

4. How to Find the GCF of 22440 and 22446?

Answer:

Greatest Common Factor of 22440 and 22446 = 6

Step 1: Find the prime factorization of 22440

22440 = 2 x 2 x 2 x 3 x 5 x 11 x 17

Step 2: Find the prime factorization of 22446

22446 = 2 x 3 x 3 x 29 x 43

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 22440 and 22446 is 6