What is the Greatest Common Factor of 20214 and 20223?

Greatest common factor (GCF) of 20214 and 20223 is 9.

GCF(20214,20223) = 9

We will now calculate the prime factors of 20214 and 20223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20214 and 20223.

How to find the GCF of 20214 and 20223?

We will first find the prime factorization of 20214 and 20223. After we will calculate the factors of 20214 and 20223 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 20223

Prime factors of 20223 are 3, 7, 107. Prime factorization of 20223 in exponential form is:

20223 = 3³ × 7¹ × 107¹

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 20223

List of positive integer factors of 20223 that divides 20214 without a remainder.

1, 3, 7, 9, 21, 27, 63, 107, 189, 321, 749, 963, 2247, 2889, 6741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20214 and 20223. The biggest common factor number is the GCF number.
So the greatest common factor 20214 and 20223 is 9.

Also check out the Least Common Multiple of 20214 and 20223