What is the Greatest Common Factor of 96186 and 96201?

Greatest common factor (GCF) of 96186 and 96201 is 3.

GCF(96186,96201) = 3

We will now calculate the prime factors of 96186 and 96201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96186 and 96201.

How to find the GCF of 96186 and 96201?

We will first find the prime factorization of 96186 and 96201. After we will calculate the factors of 96186 and 96201 and find the biggest common factor number .

Step-1: Prime Factorization of 96186

Prime factors of 96186 are 2, 3, 17, 23, 41. Prime factorization of 96186 in exponential form is:

96186 = 2¹ × 3¹ × 17¹ × 23¹ × 41¹

Step-2: Prime Factorization of 96201

Prime factors of 96201 are 3, 7, 509. Prime factorization of 96201 in exponential form is:

96201 = 3³ × 7¹ × 509¹

Step-3: Factors of 96186

List of positive integer factors of 96186 that divides 96186 without a remainder.

1, 2, 3, 6, 17, 23, 34, 41, 46, 51, 69, 82, 102, 123, 138, 246, 391, 697, 782, 943, 1173, 1394, 1886, 2091, 2346, 2829, 4182, 5658, 16031, 32062, 48093

Step-4: Factors of 96201

List of positive integer factors of 96201 that divides 96186 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 509, 1527, 3563, 4581, 10689, 13743, 32067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96186 and 96201. The biggest common factor number is the GCF number.
So the greatest common factor 96186 and 96201 is 3.

Also check out the Least Common Multiple of 96186 and 96201