Greatest Common Factor of 22440 and 22448

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, 22448 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 22440 and 22448 is 8.

GCF(22440,22448) = 8

GCF of 22440 and 22448

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

GCF of:
and

Greatest Common Factor of 22440 and 22448

GCF of 22440 and 22448 is 8

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 22448


2 22448
2 11224
2 5612
2 2806
23 1403
61 61
1

Prime factors of 22448 are 2,23,61. Prime factorization of 22448 in exponential form is:

22448 = 24×231×611

∴ So by taking common prime factors GCF of 22440 and 22448 is 8

Greatest Common Factor of 22440 and 22448 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 22448

List of positive integer factors of 22448 that divides 22448 without a remainder.

1,2,4,8,16,23,46,61,92,122,184,244,368,488,976,1403,2806,5612,11224,22448

Greatest Common Factor

We found the factors and prime factorization of 22440 and 22448. The biggest common factor number is the GCF number.
So the greatest common factor 22440 and 22448 is 8.

Also check out the Least Common Multiple of 22440 and 22448

Properties of GCF 22440 and 22448

(i) The GCF of 22440 and 22448 is associative

GCF of 22440 and 22448 = GCF of 22448 and 22440

Related Greatest Common Factor of 22440

Related Greatest Common Factor of 22448

Frequently Asked Questions on GCF of 22440 and 22448

1. What is the GCF of 22440 and 22448?

Answer: GCF of 22440 and 22448 is 8.

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 22448?

Answer: Factors of 22448 are 1, 2, 4, 8, 16, 23, 46, 61, 92, 122, 184, 244, 368, 488, 976, 1403, 2806, 5612, 11224, 22448. There are 20 integers that are factors of 22448. The greatest factor of 22448 is 22448.

4. How to Find the GCF of 22440 and 22448?

Answer:

Greatest Common Factor of 22440 and 22448 = 8

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 22448

22448 = 2 x 2 x 2 x 2 x 23 x 61

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 22440 and 22448 is 8