What is the Greatest Common Factor of 75388 and 75408?

Greatest common factor (GCF) of 75388 and 75408 is 4.

GCF(75388,75408) = 4

We will now calculate the prime factors of 75388 and 75408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75388 and 75408.

How to find the GCF of 75388 and 75408?

We will first find the prime factorization of 75388 and 75408. After we will calculate the factors of 75388 and 75408 and find the biggest common factor number .

Step-1: Prime Factorization of 75388

Prime factors of 75388 are 2, 47, 401. Prime factorization of 75388 in exponential form is:

75388 = 2² × 47¹ × 401¹

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 75388

List of positive integer factors of 75388 that divides 75388 without a remainder.

1, 2, 4, 47, 94, 188, 401, 802, 1604, 18847, 37694

Step-4: Factors of 75408

List of positive integer factors of 75408 that divides 75388 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 75388 and 75408. The biggest common factor number is the GCF number.
So the greatest common factor 75388 and 75408 is 4.

Also check out the Least Common Multiple of 75388 and 75408