What is the Greatest Common Factor of 75408 and 75423?

Greatest common factor (GCF) of 75408 and 75423 is 3.

GCF(75408,75423) = 3

We will now calculate the prime factors of 75408 and 75423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75408 and 75423.

How to find the GCF of 75408 and 75423?

We will first find the prime factorization of 75408 and 75423. After we will calculate the factors of 75408 and 75423 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75423

Prime factors of 75423 are 3, 31, 811. Prime factorization of 75423 in exponential form is:

75423 = 3¹ × 31¹ × 811¹

Step-3: Factors of 75408

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

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

Step-4: Factors of 75423

List of positive integer factors of 75423 that divides 75408 without a remainder.

1, 3, 31, 93, 811, 2433, 25141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75408 and 75423. The biggest common factor number is the GCF number.
So the greatest common factor 75408 and 75423 is 3.

Also check out the Least Common Multiple of 75408 and 75423