What is the Greatest Common Factor of 93504 and 93524?

Greatest common factor (GCF) of 93504 and 93524 is 4.

GCF(93504,93524) = 4

We will now calculate the prime factors of 93504 and 93524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93504 and 93524.

How to find the GCF of 93504 and 93524?

We will first find the prime factorization of 93504 and 93524. After we will calculate the factors of 93504 and 93524 and find the biggest common factor number .

Step-1: Prime Factorization of 93504

Prime factors of 93504 are 2, 3, 487. Prime factorization of 93504 in exponential form is:

93504 = 2⁶ × 3¹ × 487¹

Step-2: Prime Factorization of 93524

Prime factors of 93524 are 2, 103, 227. Prime factorization of 93524 in exponential form is:

93524 = 2² × 103¹ × 227¹

Step-3: Factors of 93504

List of positive integer factors of 93504 that divides 93504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 487, 974, 1461, 1948, 2922, 3896, 5844, 7792, 11688, 15584, 23376, 31168, 46752

Step-4: Factors of 93524

List of positive integer factors of 93524 that divides 93504 without a remainder.

1, 2, 4, 103, 206, 227, 412, 454, 908, 23381, 46762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93504 and 93524. The biggest common factor number is the GCF number.
So the greatest common factor 93504 and 93524 is 4.

Also check out the Least Common Multiple of 93504 and 93524