What is the Greatest Common Factor of 93495 and 93504?

Greatest common factor (GCF) of 93495 and 93504 is 3.

GCF(93495,93504) = 3

We will now calculate the prime factors of 93495 and 93504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93495 and 93504.

How to find the GCF of 93495 and 93504?

We will first find the prime factorization of 93495 and 93504. After we will calculate the factors of 93495 and 93504 and find the biggest common factor number .

Step-1: Prime Factorization of 93495

Prime factors of 93495 are 3, 5, 23, 271. Prime factorization of 93495 in exponential form is:

93495 = 3¹ × 5¹ × 23¹ × 271¹

Step-2: 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-3: Factors of 93495

List of positive integer factors of 93495 that divides 93495 without a remainder.

1, 3, 5, 15, 23, 69, 115, 271, 345, 813, 1355, 4065, 6233, 18699, 31165

Step-4: Factors of 93504

List of positive integer factors of 93504 that divides 93495 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93495 and 93504. The biggest common factor number is the GCF number.
So the greatest common factor 93495 and 93504 is 3.

Also check out the Least Common Multiple of 93495 and 93504