What is the Greatest Common Factor of 90209 and 90226?

Greatest common factor (GCF) of 90209 and 90226 is 1.

GCF(90209,90226) = 1

We will now calculate the prime factors of 90209 and 90226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90209 and 90226.

How to find the GCF of 90209 and 90226?

We will first find the prime factorization of 90209 and 90226. After we will calculate the factors of 90209 and 90226 and find the biggest common factor number .

Step-1: Prime Factorization of 90209

Prime factors of 90209 are 7, 263. Prime factorization of 90209 in exponential form is:

90209 = 7³ × 263¹

Step-2: Prime Factorization of 90226

Prime factors of 90226 are 2, 197, 229. Prime factorization of 90226 in exponential form is:

90226 = 2¹ × 197¹ × 229¹

Step-3: Factors of 90209

List of positive integer factors of 90209 that divides 90209 without a remainder.

1, 7, 49, 263, 343, 1841, 12887

Step-4: Factors of 90226

List of positive integer factors of 90226 that divides 90209 without a remainder.

1, 2, 197, 229, 394, 458, 45113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90209 and 90226. The biggest common factor number is the GCF number.
So the greatest common factor 90209 and 90226 is 1.

Also check out the Least Common Multiple of 90209 and 90226