What is the Greatest Common Factor of 75444 and 75456?

Greatest common factor (GCF) of 75444 and 75456 is 12.

GCF(75444,75456) = 12

We will now calculate the prime factors of 75444 and 75456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75444 and 75456.

How to find the GCF of 75444 and 75456?

We will first find the prime factorization of 75444 and 75456. After we will calculate the factors of 75444 and 75456 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 75456

Prime factors of 75456 are 2, 3, 131. Prime factorization of 75456 in exponential form is:

75456 = 2⁶ × 3² × 131¹

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 75456

List of positive integer factors of 75456 that divides 75444 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 131, 144, 192, 262, 288, 393, 524, 576, 786, 1048, 1179, 1572, 2096, 2358, 3144, 4192, 4716, 6288, 8384, 9432, 12576, 18864, 25152, 37728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75444 and 75456. The biggest common factor number is the GCF number.
So the greatest common factor 75444 and 75456 is 12.

Also check out the Least Common Multiple of 75444 and 75456