What is the Greatest Common Factor of 20214 and 20233?

Greatest common factor (GCF) of 20214 and 20233 is 1.

GCF(20214,20233) = 1

We will now calculate the prime factors of 20214 and 20233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20214 and 20233.

How to find the GCF of 20214 and 20233?

We will first find the prime factorization of 20214 and 20233. After we will calculate the factors of 20214 and 20233 and find the biggest common factor number .

Step-1: Prime Factorization of 20214

Prime factors of 20214 are 2, 3, 1123. Prime factorization of 20214 in exponential form is:

20214 = 2¹ × 3² × 1123¹

Step-2: Prime Factorization of 20233

Prime factors of 20233 are 20233. Prime factorization of 20233 in exponential form is:

20233 = 20233¹

Step-3: Factors of 20214

List of positive integer factors of 20214 that divides 20214 without a remainder.

1, 2, 3, 6, 9, 18, 1123, 2246, 3369, 6738, 10107

Step-4: Factors of 20233

List of positive integer factors of 20233 that divides 20214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20214 and 20233. The biggest common factor number is the GCF number.
So the greatest common factor 20214 and 20233 is 1.

Also check out the Least Common Multiple of 20214 and 20233