What is the Greatest Common Factor of 20227 and 20241?

Greatest common factor (GCF) of 20227 and 20241 is 1.

GCF(20227,20241) = 1

We will now calculate the prime factors of 20227 and 20241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20227 and 20241.

How to find the GCF of 20227 and 20241?

We will first find the prime factorization of 20227 and 20241. After we will calculate the factors of 20227 and 20241 and find the biggest common factor number .

Step-1: Prime Factorization of 20227

Prime factors of 20227 are 113, 179. Prime factorization of 20227 in exponential form is:

20227 = 113¹ × 179¹

Step-2: Prime Factorization of 20241

Prime factors of 20241 are 3, 13, 173. Prime factorization of 20241 in exponential form is:

20241 = 3² × 13¹ × 173¹

Step-3: Factors of 20227

List of positive integer factors of 20227 that divides 20227 without a remainder.

1, 113, 179

Step-4: Factors of 20241

List of positive integer factors of 20241 that divides 20227 without a remainder.

1, 3, 9, 13, 39, 117, 173, 519, 1557, 2249, 6747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20227 and 20241. The biggest common factor number is the GCF number.
So the greatest common factor 20227 and 20241 is 1.

Also check out the Least Common Multiple of 20227 and 20241