What is the Greatest Common Factor of 20214 and 20230?

Greatest common factor (GCF) of 20214 and 20230 is 2.

GCF(20214,20230) = 2

We will now calculate the prime factors of 20214 and 20230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20214 and 20230.

How to find the GCF of 20214 and 20230?

We will first find the prime factorization of 20214 and 20230. After we will calculate the factors of 20214 and 20230 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 20230

Prime factors of 20230 are 2, 5, 7, 17. Prime factorization of 20230 in exponential form is:

20230 = 2¹ × 5¹ × 7¹ × 17²

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 20230

List of positive integer factors of 20230 that divides 20214 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 289, 578, 595, 1190, 1445, 2023, 2890, 4046, 10115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20214 and 20230. The biggest common factor number is the GCF number.
So the greatest common factor 20214 and 20230 is 2.

Also check out the Least Common Multiple of 20214 and 20230