What is the Greatest Common Factor of 90219 and 90236?

Greatest common factor (GCF) of 90219 and 90236 is 17.

GCF(90219,90236) = 17

We will now calculate the prime factors of 90219 and 90236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90219 and 90236.

How to find the GCF of 90219 and 90236?

We will first find the prime factorization of 90219 and 90236. After we will calculate the factors of 90219 and 90236 and find the biggest common factor number .

Step-1: Prime Factorization of 90219

Prime factors of 90219 are 3, 17, 29, 61. Prime factorization of 90219 in exponential form is:

90219 = 3¹ × 17¹ × 29¹ × 61¹

Step-2: Prime Factorization of 90236

Prime factors of 90236 are 2, 17, 1327. Prime factorization of 90236 in exponential form is:

90236 = 2² × 17¹ × 1327¹

Step-3: Factors of 90219

List of positive integer factors of 90219 that divides 90219 without a remainder.

1, 3, 17, 29, 51, 61, 87, 183, 493, 1037, 1479, 1769, 3111, 5307, 30073

Step-4: Factors of 90236

List of positive integer factors of 90236 that divides 90219 without a remainder.

1, 2, 4, 17, 34, 68, 1327, 2654, 5308, 22559, 45118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90219 and 90236. The biggest common factor number is the GCF number.
So the greatest common factor 90219 and 90236 is 17.

Also check out the Least Common Multiple of 90219 and 90236