What is the Greatest Common Factor of 90186 and 90201?

Greatest common factor (GCF) of 90186 and 90201 is 3.

GCF(90186,90201) = 3

We will now calculate the prime factors of 90186 and 90201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90186 and 90201.

How to find the GCF of 90186 and 90201?

We will first find the prime factorization of 90186 and 90201. After we will calculate the factors of 90186 and 90201 and find the biggest common factor number .

Step-1: Prime Factorization of 90186

Prime factors of 90186 are 2, 3, 15031. Prime factorization of 90186 in exponential form is:

90186 = 2¹ × 3¹ × 15031¹

Step-2: Prime Factorization of 90201

Prime factors of 90201 are 3, 107, 281. Prime factorization of 90201 in exponential form is:

90201 = 3¹ × 107¹ × 281¹

Step-3: Factors of 90186

List of positive integer factors of 90186 that divides 90186 without a remainder.

1, 2, 3, 6, 15031, 30062, 45093

Step-4: Factors of 90201

List of positive integer factors of 90201 that divides 90186 without a remainder.

1, 3, 107, 281, 321, 843, 30067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90186 and 90201. The biggest common factor number is the GCF number.
So the greatest common factor 90186 and 90201 is 3.

Also check out the Least Common Multiple of 90186 and 90201