What is the Greatest Common Factor of 90185 and 90202?

Greatest common factor (GCF) of 90185 and 90202 is 17.

GCF(90185,90202) = 17

We will now calculate the prime factors of 90185 and 90202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90185 and 90202.

How to find the GCF of 90185 and 90202?

We will first find the prime factorization of 90185 and 90202. After we will calculate the factors of 90185 and 90202 and find the biggest common factor number .

Step-1: Prime Factorization of 90185

Prime factors of 90185 are 5, 17, 1061. Prime factorization of 90185 in exponential form is:

90185 = 5¹ × 17¹ × 1061¹

Step-2: Prime Factorization of 90202

Prime factors of 90202 are 2, 7, 17, 379. Prime factorization of 90202 in exponential form is:

90202 = 2¹ × 7¹ × 17¹ × 379¹

Step-3: Factors of 90185

List of positive integer factors of 90185 that divides 90185 without a remainder.

1, 5, 17, 85, 1061, 5305, 18037

Step-4: Factors of 90202

List of positive integer factors of 90202 that divides 90185 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 379, 758, 2653, 5306, 6443, 12886, 45101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90185 and 90202. The biggest common factor number is the GCF number.
So the greatest common factor 90185 and 90202 is 17.

Also check out the Least Common Multiple of 90185 and 90202