What is the Greatest Common Factor of 20216 and 20230?

Greatest common factor (GCF) of 20216 and 20230 is 14.

GCF(20216,20230) = 14

We will now calculate the prime factors of 20216 and 20230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20216 and 20230.

How to find the GCF of 20216 and 20230?

We will first find the prime factorization of 20216 and 20230. After we will calculate the factors of 20216 and 20230 and find the biggest common factor number .

Step-1: Prime Factorization of 20216

Prime factors of 20216 are 2, 7, 19. Prime factorization of 20216 in exponential form is:

20216 = 2³ × 7¹ × 19²

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 20216

List of positive integer factors of 20216 that divides 20216 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 361, 532, 722, 1064, 1444, 2527, 2888, 5054, 10108

Step-4: Factors of 20230

List of positive integer factors of 20230 that divides 20216 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 20216 and 20230. The biggest common factor number is the GCF number.
So the greatest common factor 20216 and 20230 is 14.

Also check out the Least Common Multiple of 20216 and 20230