What is the Greatest Common Factor of 22436 and 22440?

Greatest common factor (GCF) of 22436 and 22440 is 4.

GCF(22436,22440) = 4

We will now calculate the prime factors of 22436 and 22440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22436 and 22440.

How to find the GCF of 22436 and 22440?

We will first find the prime factorization of 22436 and 22440. After we will calculate the factors of 22436 and 22440 and find the biggest common factor number .

Step-1: Prime Factorization of 22436

Prime factors of 22436 are 2, 71, 79. Prime factorization of 22436 in exponential form is:

22436 = 2² × 71¹ × 79¹

Step-2: Prime Factorization of 22440

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

22440 = 2³ × 3¹ × 5¹ × 11¹ × 17¹

Step-3: Factors of 22436

List of positive integer factors of 22436 that divides 22436 without a remainder.

1, 2, 4, 71, 79, 142, 158, 284, 316, 5609, 11218

Step-4: Factors of 22440

List of positive integer factors of 22440 that divides 22436 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22436 and 22440. The biggest common factor number is the GCF number.
So the greatest common factor 22436 and 22440 is 4.

Also check out the Least Common Multiple of 22436 and 22440