What is the Greatest Common Factor of 96546 and 96562?

Greatest common factor (GCF) of 96546 and 96562 is 2.

GCF(96546,96562) = 2

We will now calculate the prime factors of 96546 and 96562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96546 and 96562.

How to find the GCF of 96546 and 96562?

We will first find the prime factorization of 96546 and 96562. After we will calculate the factors of 96546 and 96562 and find the biggest common factor number .

Step-1: Prime Factorization of 96546

Prime factors of 96546 are 2, 3, 16091. Prime factorization of 96546 in exponential form is:

96546 = 2¹ × 3¹ × 16091¹

Step-2: Prime Factorization of 96562

Prime factors of 96562 are 2, 48281. Prime factorization of 96562 in exponential form is:

96562 = 2¹ × 48281¹

Step-3: Factors of 96546

List of positive integer factors of 96546 that divides 96546 without a remainder.

1, 2, 3, 6, 16091, 32182, 48273

Step-4: Factors of 96562

List of positive integer factors of 96562 that divides 96546 without a remainder.

1, 2, 48281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96546 and 96562. The biggest common factor number is the GCF number.
So the greatest common factor 96546 and 96562 is 2.

Also check out the Least Common Multiple of 96546 and 96562