What is the Greatest Common Factor of 75393 and 75408?

Greatest common factor (GCF) of 75393 and 75408 is 3.

GCF(75393,75408) = 3

We will now calculate the prime factors of 75393 and 75408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75393 and 75408.

How to find the GCF of 75393 and 75408?

We will first find the prime factorization of 75393 and 75408. After we will calculate the factors of 75393 and 75408 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 75408

Prime factors of 75408 are 2, 3, 1571. Prime factorization of 75408 in exponential form is:

75408 = 2⁴ × 3¹ × 1571¹

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 75408

List of positive integer factors of 75408 that divides 75393 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1571, 3142, 4713, 6284, 9426, 12568, 18852, 25136, 37704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75393 and 75408. The biggest common factor number is the GCF number.
So the greatest common factor 75393 and 75408 is 3.

Also check out the Least Common Multiple of 75393 and 75408