What is the Greatest Common Factor of 75444 and 75459?

Greatest common factor (GCF) of 75444 and 75459 is 3.

GCF(75444,75459) = 3

We will now calculate the prime factors of 75444 and 75459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75444 and 75459.

How to find the GCF of 75444 and 75459?

We will first find the prime factorization of 75444 and 75459. After we will calculate the factors of 75444 and 75459 and find the biggest common factor number .

Step-1: Prime Factorization of 75444

Prime factors of 75444 are 2, 3, 6287. Prime factorization of 75444 in exponential form is:

75444 = 2² × 3¹ × 6287¹

Step-2: Prime Factorization of 75459

Prime factors of 75459 are 3, 25153. Prime factorization of 75459 in exponential form is:

75459 = 3¹ × 25153¹

Step-3: Factors of 75444

List of positive integer factors of 75444 that divides 75444 without a remainder.

1, 2, 3, 4, 6, 12, 6287, 12574, 18861, 25148, 37722

Step-4: Factors of 75459

List of positive integer factors of 75459 that divides 75444 without a remainder.

1, 3, 25153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75444 and 75459. The biggest common factor number is the GCF number.
So the greatest common factor 75444 and 75459 is 3.

Also check out the Least Common Multiple of 75444 and 75459