What is the Greatest Common Factor of 21216 and 21235?

Greatest common factor (GCF) of 21216 and 21235 is 1.

GCF(21216,21235) = 1

We will now calculate the prime factors of 21216 and 21235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21216 and 21235.

How to find the GCF of 21216 and 21235?

We will first find the prime factorization of 21216 and 21235. After we will calculate the factors of 21216 and 21235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21235

Prime factors of 21235 are 5, 31, 137. Prime factorization of 21235 in exponential form is:

21235 = 5¹ × 31¹ × 137¹

Step-3: Factors of 21216

List of positive integer factors of 21216 that divides 21216 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

Step-4: Factors of 21235

List of positive integer factors of 21235 that divides 21216 without a remainder.

1, 5, 31, 137, 155, 685, 4247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21216 and 21235. The biggest common factor number is the GCF number.
So the greatest common factor 21216 and 21235 is 1.

Also check out the Least Common Multiple of 21216 and 21235