What is the Greatest Common Factor of 75573 and 75582?

Greatest common factor (GCF) of 75573 and 75582 is 9.

GCF(75573,75582) = 9

We will now calculate the prime factors of 75573 and 75582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75573 and 75582.

How to find the GCF of 75573 and 75582?

We will first find the prime factorization of 75573 and 75582. After we will calculate the factors of 75573 and 75582 and find the biggest common factor number .

Step-1: Prime Factorization of 75573

Prime factors of 75573 are 3, 311. Prime factorization of 75573 in exponential form is:

75573 = 3⁵ × 311¹

Step-2: Prime Factorization of 75582

Prime factors of 75582 are 2, 3, 13, 17, 19. Prime factorization of 75582 in exponential form is:

75582 = 2¹ × 3² × 13¹ × 17¹ × 19¹

Step-3: Factors of 75573

List of positive integer factors of 75573 that divides 75573 without a remainder.

1, 3, 9, 27, 81, 243, 311, 933, 2799, 8397, 25191

Step-4: Factors of 75582

List of positive integer factors of 75582 that divides 75573 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 19, 26, 34, 38, 39, 51, 57, 78, 102, 114, 117, 153, 171, 221, 234, 247, 306, 323, 342, 442, 494, 646, 663, 741, 969, 1326, 1482, 1938, 1989, 2223, 2907, 3978, 4199, 4446, 5814, 8398, 12597, 25194, 37791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75573 and 75582. The biggest common factor number is the GCF number.
So the greatest common factor 75573 and 75582 is 9.

Also check out the Least Common Multiple of 75573 and 75582