What is the Greatest Common Factor of 20217 and 20232?

Greatest common factor (GCF) of 20217 and 20232 is 3.

GCF(20217,20232) = 3

We will now calculate the prime factors of 20217 and 20232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20217 and 20232.

How to find the GCF of 20217 and 20232?

We will first find the prime factorization of 20217 and 20232. After we will calculate the factors of 20217 and 20232 and find the biggest common factor number .

Step-1: Prime Factorization of 20217

Prime factors of 20217 are 3, 23, 293. Prime factorization of 20217 in exponential form is:

20217 = 3¹ × 23¹ × 293¹

Step-2: Prime Factorization of 20232

Prime factors of 20232 are 2, 3, 281. Prime factorization of 20232 in exponential form is:

20232 = 2³ × 3² × 281¹

Step-3: Factors of 20217

List of positive integer factors of 20217 that divides 20217 without a remainder.

1, 3, 23, 69, 293, 879, 6739

Step-4: Factors of 20232

List of positive integer factors of 20232 that divides 20217 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 281, 562, 843, 1124, 1686, 2248, 2529, 3372, 5058, 6744, 10116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20217 and 20232. The biggest common factor number is the GCF number.
So the greatest common factor 20217 and 20232 is 3.

Also check out the Least Common Multiple of 20217 and 20232