What is the Greatest Common Factor of 21232 and 21248?

Greatest common factor (GCF) of 21232 and 21248 is 16.

GCF(21232,21248) = 16

We will now calculate the prime factors of 21232 and 21248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21232 and 21248.

How to find the GCF of 21232 and 21248?

We will first find the prime factorization of 21232 and 21248. After we will calculate the factors of 21232 and 21248 and find the biggest common factor number .

Step-1: Prime Factorization of 21232

Prime factors of 21232 are 2, 1327. Prime factorization of 21232 in exponential form is:

21232 = 2⁴ × 1327¹

Step-2: Prime Factorization of 21248

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

21248 = 2⁸ × 83¹

Step-3: Factors of 21232

List of positive integer factors of 21232 that divides 21232 without a remainder.

1, 2, 4, 8, 16, 1327, 2654, 5308, 10616

Step-4: Factors of 21248

List of positive integer factors of 21248 that divides 21232 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21232 and 21248. The biggest common factor number is the GCF number.
So the greatest common factor 21232 and 21248 is 16.

Also check out the Least Common Multiple of 21232 and 21248