What is the Greatest Common Factor of 21203 and 21216?

Greatest common factor (GCF) of 21203 and 21216 is 13.

GCF(21203,21216) = 13

We will now calculate the prime factors of 21203 and 21216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21203 and 21216.

How to find the GCF of 21203 and 21216?

We will first find the prime factorization of 21203 and 21216. After we will calculate the factors of 21203 and 21216 and find the biggest common factor number .

Step-1: Prime Factorization of 21203

Prime factors of 21203 are 7, 13, 233. Prime factorization of 21203 in exponential form is:

21203 = 7¹ × 13¹ × 233¹

Step-2: Prime Factorization of 21216

Prime factors of 21216 are 2, 3, 13, 17. Prime factorization of 21216 in exponential form is:

21216 = 2⁵ × 3¹ × 13¹ × 17¹

Step-3: Factors of 21203

List of positive integer factors of 21203 that divides 21203 without a remainder.

1, 7, 13, 91, 233, 1631, 3029

Step-4: Factors of 21216

List of positive integer factors of 21216 that divides 21203 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 68, 78, 96, 102, 104, 136, 156, 204, 208, 221, 272, 312, 408, 416, 442, 544, 624, 663, 816, 884, 1248, 1326, 1632, 1768, 2652, 3536, 5304, 7072, 10608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21203 and 21216. The biggest common factor number is the GCF number.
So the greatest common factor 21203 and 21216 is 13.

Also check out the Least Common Multiple of 21203 and 21216