What is the Greatest Common Factor of 75459 and 75468?

Greatest common factor (GCF) of 75459 and 75468 is 3.

GCF(75459,75468) = 3

We will now calculate the prime factors of 75459 and 75468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75459 and 75468.

How to find the GCF of 75459 and 75468?

We will first find the prime factorization of 75459 and 75468. After we will calculate the factors of 75459 and 75468 and find the biggest common factor number .

Step-1: Prime Factorization of 75459

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

75459 = 3¹ × 25153¹

Step-2: Prime Factorization of 75468

Prime factors of 75468 are 2, 3, 19, 331. Prime factorization of 75468 in exponential form is:

75468 = 2² × 3¹ × 19¹ × 331¹

Step-3: Factors of 75459

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

1, 3, 25153

Step-4: Factors of 75468

List of positive integer factors of 75468 that divides 75459 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 331, 662, 993, 1324, 1986, 3972, 6289, 12578, 18867, 25156, 37734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75459 and 75468. The biggest common factor number is the GCF number.
So the greatest common factor 75459 and 75468 is 3.

Also check out the Least Common Multiple of 75459 and 75468