What is the Greatest Common Factor of 90186 and 90195?

Greatest common factor (GCF) of 90186 and 90195 is 3.

GCF(90186,90195) = 3

We will now calculate the prime factors of 90186 and 90195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90186 and 90195.

How to find the GCF of 90186 and 90195?

We will first find the prime factorization of 90186 and 90195. After we will calculate the factors of 90186 and 90195 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 90195

Prime factors of 90195 are 3, 5, 7, 859. Prime factorization of 90195 in exponential form is:

90195 = 3¹ × 5¹ × 7¹ × 859¹

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 90195

List of positive integer factors of 90195 that divides 90186 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 859, 2577, 4295, 6013, 12885, 18039, 30065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90186 and 90195. The biggest common factor number is the GCF number.
So the greatest common factor 90186 and 90195 is 3.

Also check out the Least Common Multiple of 90186 and 90195