What is the Greatest Common Factor of 96562 and 96568?

Greatest common factor (GCF) of 96562 and 96568 is 2.

GCF(96562,96568) = 2

We will now calculate the prime factors of 96562 and 96568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96562 and 96568.

How to find the GCF of 96562 and 96568?

We will first find the prime factorization of 96562 and 96568. After we will calculate the factors of 96562 and 96568 and find the biggest common factor number .

Step-1: Prime Factorization of 96562

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

96562 = 2¹ × 48281¹

Step-2: Prime Factorization of 96568

Prime factors of 96568 are 2, 12071. Prime factorization of 96568 in exponential form is:

96568 = 2³ × 12071¹

Step-3: Factors of 96562

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

1, 2, 48281

Step-4: Factors of 96568

List of positive integer factors of 96568 that divides 96562 without a remainder.

1, 2, 4, 8, 12071, 24142, 48284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96562 and 96568. The biggest common factor number is the GCF number.
So the greatest common factor 96562 and 96568 is 2.

Also check out the Least Common Multiple of 96562 and 96568