What is the Greatest Common Factor of 20226 and 20241?

Greatest common factor (GCF) of 20226 and 20241 is 3.

GCF(20226,20241) = 3

We will now calculate the prime factors of 20226 and 20241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20226 and 20241.

How to find the GCF of 20226 and 20241?

We will first find the prime factorization of 20226 and 20241. After we will calculate the factors of 20226 and 20241 and find the biggest common factor number .

Step-1: Prime Factorization of 20226

Prime factors of 20226 are 2, 3, 3371. Prime factorization of 20226 in exponential form is:

20226 = 2¹ × 3¹ × 3371¹

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 20226

List of positive integer factors of 20226 that divides 20226 without a remainder.

1, 2, 3, 6, 3371, 6742, 10113

Step-4: Factors of 20241

List of positive integer factors of 20241 that divides 20226 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 20226 and 20241. The biggest common factor number is the GCF number.
So the greatest common factor 20226 and 20241 is 3.

Also check out the Least Common Multiple of 20226 and 20241