What is the Greatest Common Factor of 93504 and 93513?

Greatest common factor (GCF) of 93504 and 93513 is 3.

GCF(93504,93513) = 3

We will now calculate the prime factors of 93504 and 93513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93504 and 93513.

How to find the GCF of 93504 and 93513?

We will first find the prime factorization of 93504 and 93513. After we will calculate the factors of 93504 and 93513 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 93513

Prime factors of 93513 are 3, 7, 61, 73. Prime factorization of 93513 in exponential form is:

93513 = 3¹ × 7¹ × 61¹ × 73¹

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 93513

List of positive integer factors of 93513 that divides 93504 without a remainder.

1, 3, 7, 21, 61, 73, 183, 219, 427, 511, 1281, 1533, 4453, 13359, 31171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93504 and 93513. The biggest common factor number is the GCF number.
So the greatest common factor 93504 and 93513 is 3.

Also check out the Least Common Multiple of 93504 and 93513