What is the Greatest Common Factor of 20202 and 20216?

Greatest common factor (GCF) of 20202 and 20216 is 14.

GCF(20202,20216) = 14

We will now calculate the prime factors of 20202 and 20216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20202 and 20216.

How to find the GCF of 20202 and 20216?

We will first find the prime factorization of 20202 and 20216. After we will calculate the factors of 20202 and 20216 and find the biggest common factor number .

Step-1: Prime Factorization of 20202

Prime factors of 20202 are 2, 3, 7, 13, 37. Prime factorization of 20202 in exponential form is:

20202 = 2¹ × 3¹ × 7¹ × 13¹ × 37¹

Step-2: 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-3: Factors of 20202

List of positive integer factors of 20202 that divides 20202 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 37, 39, 42, 74, 78, 91, 111, 182, 222, 259, 273, 481, 518, 546, 777, 962, 1443, 1554, 2886, 3367, 6734, 10101

Step-4: Factors of 20216

List of positive integer factors of 20216 that divides 20202 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20202 and 20216. The biggest common factor number is the GCF number.
So the greatest common factor 20202 and 20216 is 14.

Also check out the Least Common Multiple of 20202 and 20216