What is the Greatest Common Factor of 90209 and 90221?

Greatest common factor (GCF) of 90209 and 90221 is 1.

GCF(90209,90221) = 1

We will now calculate the prime factors of 90209 and 90221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90209 and 90221.

How to find the GCF of 90209 and 90221?

We will first find the prime factorization of 90209 and 90221. After we will calculate the factors of 90209 and 90221 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 90221

Prime factors of 90221 are 83, 1087. Prime factorization of 90221 in exponential form is:

90221 = 83¹ × 1087¹

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 90221

List of positive integer factors of 90221 that divides 90209 without a remainder.

1, 83, 1087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90209 and 90221. The biggest common factor number is the GCF number.
So the greatest common factor 90209 and 90221 is 1.

Also check out the Least Common Multiple of 90209 and 90221