What is the Greatest Common Factor of 30209 and 30221?

Greatest common factor (GCF) of 30209 and 30221 is 1.

GCF(30209,30221) = 1

We will now calculate the prime factors of 30209 and 30221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30209 and 30221.

How to find the GCF of 30209 and 30221?

We will first find the prime factorization of 30209 and 30221. After we will calculate the factors of 30209 and 30221 and find the biggest common factor number .

Step-1: Prime Factorization of 30209

Prime factors of 30209 are 17, 1777. Prime factorization of 30209 in exponential form is:

30209 = 17¹ × 1777¹

Step-2: Prime Factorization of 30221

Prime factors of 30221 are 47, 643. Prime factorization of 30221 in exponential form is:

30221 = 47¹ × 643¹

Step-3: Factors of 30209

List of positive integer factors of 30209 that divides 30209 without a remainder.

1, 17, 1777

Step-4: Factors of 30221

List of positive integer factors of 30221 that divides 30209 without a remainder.

1, 47, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30209 and 30221. The biggest common factor number is the GCF number.
So the greatest common factor 30209 and 30221 is 1.

Also check out the Least Common Multiple of 30209 and 30221