What is the Greatest Common Factor of 22440 and 22457?

Greatest common factor (GCF) of 22440 and 22457 is 17.

GCF(22440,22457) = 17

We will now calculate the prime factors of 22440 and 22457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22440 and 22457.

How to find the GCF of 22440 and 22457?

We will first find the prime factorization of 22440 and 22457. After we will calculate the factors of 22440 and 22457 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22457

Prime factors of 22457 are 17, 1321. Prime factorization of 22457 in exponential form is:

22457 = 17¹ × 1321¹

Step-3: 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

Step-4: Factors of 22457

List of positive integer factors of 22457 that divides 22440 without a remainder.

1, 17, 1321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22440 and 22457. The biggest common factor number is the GCF number.
So the greatest common factor 22440 and 22457 is 17.

Also check out the Least Common Multiple of 22440 and 22457