What is the Greatest Common Factor of 21248 and 21265?

Greatest common factor (GCF) of 21248 and 21265 is 1.

GCF(21248,21265) = 1

We will now calculate the prime factors of 21248 and 21265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21248 and 21265.

How to find the GCF of 21248 and 21265?

We will first find the prime factorization of 21248 and 21265. After we will calculate the factors of 21248 and 21265 and find the biggest common factor number .

Step-1: Prime Factorization of 21248

Prime factors of 21248 are 2, 83. Prime factorization of 21248 in exponential form is:

21248 = 2⁸ × 83¹

Step-2: Prime Factorization of 21265

Prime factors of 21265 are 5, 4253. Prime factorization of 21265 in exponential form is:

21265 = 5¹ × 4253¹

Step-3: Factors of 21248

List of positive integer factors of 21248 that divides 21248 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 256, 332, 664, 1328, 2656, 5312, 10624

Step-4: Factors of 21265

List of positive integer factors of 21265 that divides 21248 without a remainder.

1, 5, 4253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21248 and 21265. The biggest common factor number is the GCF number.
So the greatest common factor 21248 and 21265 is 1.

Also check out the Least Common Multiple of 21248 and 21265