What is the Greatest Common Factor of 96189 and 96206?

Greatest common factor (GCF) of 96189 and 96206 is 1.

GCF(96189,96206) = 1

We will now calculate the prime factors of 96189 and 96206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96189 and 96206.

How to find the GCF of 96189 and 96206?

We will first find the prime factorization of 96189 and 96206. After we will calculate the factors of 96189 and 96206 and find the biggest common factor number .

Step-1: Prime Factorization of 96189

Prime factors of 96189 are 3, 32063. Prime factorization of 96189 in exponential form is:

96189 = 3¹ × 32063¹

Step-2: Prime Factorization of 96206

Prime factors of 96206 are 2, 11, 4373. Prime factorization of 96206 in exponential form is:

96206 = 2¹ × 11¹ × 4373¹

Step-3: Factors of 96189

List of positive integer factors of 96189 that divides 96189 without a remainder.

1, 3, 32063

Step-4: Factors of 96206

List of positive integer factors of 96206 that divides 96189 without a remainder.

1, 2, 11, 22, 4373, 8746, 48103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96189 and 96206. The biggest common factor number is the GCF number.
So the greatest common factor 96189 and 96206 is 1.

Also check out the Least Common Multiple of 96189 and 96206