What is the Greatest Common Factor of 75396 and 75408?

Greatest common factor (GCF) of 75396 and 75408 is 12.

GCF(75396,75408) = 12

We will now calculate the prime factors of 75396 and 75408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75396 and 75408.

How to find the GCF of 75396 and 75408?

We will first find the prime factorization of 75396 and 75408. After we will calculate the factors of 75396 and 75408 and find the biggest common factor number .

Step-1: Prime Factorization of 75396

Prime factors of 75396 are 2, 3, 61, 103. Prime factorization of 75396 in exponential form is:

75396 = 2² × 3¹ × 61¹ × 103¹

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 75396

List of positive integer factors of 75396 that divides 75396 without a remainder.

1, 2, 3, 4, 6, 12, 61, 103, 122, 183, 206, 244, 309, 366, 412, 618, 732, 1236, 6283, 12566, 18849, 25132, 37698

Step-4: Factors of 75408

List of positive integer factors of 75408 that divides 75396 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 75396 and 75408. The biggest common factor number is the GCF number.
So the greatest common factor 75396 and 75408 is 12.

Also check out the Least Common Multiple of 75396 and 75408