What is the Greatest Common Factor of 93447 and 93462?

Greatest common factor (GCF) of 93447 and 93462 is 3.

GCF(93447,93462) = 3

We will now calculate the prime factors of 93447 and 93462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93447 and 93462.

How to find the GCF of 93447 and 93462?

We will first find the prime factorization of 93447 and 93462. After we will calculate the factors of 93447 and 93462 and find the biggest common factor number .

Step-1: Prime Factorization of 93447

Prime factors of 93447 are 3, 3461. Prime factorization of 93447 in exponential form is:

93447 = 3³ × 3461¹

Step-2: Prime Factorization of 93462

Prime factors of 93462 are 2, 3, 37, 421. Prime factorization of 93462 in exponential form is:

93462 = 2¹ × 3¹ × 37¹ × 421¹

Step-3: Factors of 93447

List of positive integer factors of 93447 that divides 93447 without a remainder.

1, 3, 9, 27, 3461, 10383, 31149

Step-4: Factors of 93462

List of positive integer factors of 93462 that divides 93447 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 421, 842, 1263, 2526, 15577, 31154, 46731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93447 and 93462. The biggest common factor number is the GCF number.
So the greatest common factor 93447 and 93462 is 3.

Also check out the Least Common Multiple of 93447 and 93462