Greatest Common Factor of 22437 and 22440

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 22437, 22440 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 22437 and 22440 is 3.

GCF(22437,22440) = 3

GCF of 22437 and 22440

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

GCF of:
and

Greatest Common Factor of 22437 and 22440

GCF of 22437 and 22440 is 3

Prime Factorization of 22437


3 22437
3 7479
3 2493
3 831
277 277
1

Prime factors of 22437 are 3,277. Prime factorization of 22437 in exponential form is:

22437 = 34×2771

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

∴ So by taking common prime factors GCF of 22437 and 22440 is 3

Greatest Common Factor of 22437 and 22440 by matching factors method

Factors of 22437

List of positive integer factors of 22437 that divides 22437 without a remainder.

1,3,9,27,81,277,831,2493,7479,22437

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

Greatest Common Factor

We found the factors and prime factorization of 22437 and 22440. The biggest common factor number is the GCF number.
So the greatest common factor 22437 and 22440 is 3.

Also check out the Least Common Multiple of 22437 and 22440

Properties of GCF 22437 and 22440

(i) The GCF of 22437 and 22440 is associative

GCF of 22437 and 22440 = GCF of 22440 and 22437

Related Greatest Common Factor of 22437

Related Greatest Common Factor of 22440

Frequently Asked Questions on GCF of 22437 and 22440

1. What is the GCF of 22437 and 22440?

Answer: GCF of 22437 and 22440 is 3.

2. What are the Factors of 22437?

Answer: Factors of 22437 are 1, 3, 9, 27, 81, 277, 831, 2493, 7479, 22437. There are 10 integers that are factors of 22437. The greatest factor of 22437 is 22437.

3. 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.

4. How to Find the GCF of 22437 and 22440?

Answer:

Greatest Common Factor of 22437 and 22440 = 3

Step 1: Find the prime factorization of 22437

22437 = 3 x 3 x 3 x 3 x 277

Step 2: Find the prime factorization of 22440

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 22437 and 22440 is 3