What is the Greatest Common Factor of 22425 and 22440?

Greatest common factor (GCF) of 22425 and 22440 is 15.

GCF(22425,22440) = 15

We will now calculate the prime factors of 22425 and 22440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22425 and 22440.

How to find the GCF of 22425 and 22440?

We will first find the prime factorization of 22425 and 22440. After we will calculate the factors of 22425 and 22440 and find the biggest common factor number .

Step-1: Prime Factorization of 22425

Prime factors of 22425 are 3, 5, 13, 23. Prime factorization of 22425 in exponential form is:

22425 = 3¹ × 5² × 13¹ × 23¹

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 22425

List of positive integer factors of 22425 that divides 22425 without a remainder.

1, 3, 5, 13, 15, 23, 25, 39, 65, 69, 75, 115, 195, 299, 325, 345, 575, 897, 975, 1495, 1725, 4485, 7475

Step-4: Factors of 22440

List of positive integer factors of 22440 that divides 22425 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 22425 and 22440. The biggest common factor number is the GCF number.
So the greatest common factor 22425 and 22440 is 15.

Also check out the Least Common Multiple of 22425 and 22440