What is the Greatest Common Factor of 75393 and 75400?

Greatest common factor (GCF) of 75393 and 75400 is 1.

GCF(75393,75400) = 1

We will now calculate the prime factors of 75393 and 75400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75393 and 75400.

How to find the GCF of 75393 and 75400?

We will first find the prime factorization of 75393 and 75400. After we will calculate the factors of 75393 and 75400 and find the biggest common factor number .

Step-1: Prime Factorization of 75393

Prime factors of 75393 are 3, 8377. Prime factorization of 75393 in exponential form is:

75393 = 3² × 8377¹

Step-2: Prime Factorization of 75400

Prime factors of 75400 are 2, 5, 13, 29. Prime factorization of 75400 in exponential form is:

75400 = 2³ × 5² × 13¹ × 29¹

Step-3: Factors of 75393

List of positive integer factors of 75393 that divides 75393 without a remainder.

1, 3, 9, 8377, 25131

Step-4: Factors of 75400

List of positive integer factors of 75400 that divides 75393 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 29, 40, 50, 52, 58, 65, 100, 104, 116, 130, 145, 200, 232, 260, 290, 325, 377, 520, 580, 650, 725, 754, 1160, 1300, 1450, 1508, 1885, 2600, 2900, 3016, 3770, 5800, 7540, 9425, 15080, 18850, 37700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75393 and 75400. The biggest common factor number is the GCF number.
So the greatest common factor 75393 and 75400 is 1.

Also check out the Least Common Multiple of 75393 and 75400