What is the Greatest Common Factor of 20234 and 20241?

Greatest common factor (GCF) of 20234 and 20241 is 1.

GCF(20234,20241) = 1

We will now calculate the prime factors of 20234 and 20241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20234 and 20241.

How to find the GCF of 20234 and 20241?

We will first find the prime factorization of 20234 and 20241. After we will calculate the factors of 20234 and 20241 and find the biggest common factor number .

Step-1: Prime Factorization of 20234

Prime factors of 20234 are 2, 67, 151. Prime factorization of 20234 in exponential form is:

20234 = 2¹ × 67¹ × 151¹

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 20234

List of positive integer factors of 20234 that divides 20234 without a remainder.

1, 2, 67, 134, 151, 302, 10117

Step-4: Factors of 20241

List of positive integer factors of 20241 that divides 20234 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 20234 and 20241. The biggest common factor number is the GCF number.
So the greatest common factor 20234 and 20241 is 1.

Also check out the Least Common Multiple of 20234 and 20241