What is the Greatest Common Factor of 21148 and 21152?

Greatest common factor (GCF) of 21148 and 21152 is 4.

GCF(21148,21152) = 4

We will now calculate the prime factors of 21148 and 21152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21148 and 21152.

How to find the GCF of 21148 and 21152?

We will first find the prime factorization of 21148 and 21152. After we will calculate the factors of 21148 and 21152 and find the biggest common factor number .

Step-1: Prime Factorization of 21148

Prime factors of 21148 are 2, 17, 311. Prime factorization of 21148 in exponential form is:

21148 = 2² × 17¹ × 311¹

Step-2: Prime Factorization of 21152

Prime factors of 21152 are 2, 661. Prime factorization of 21152 in exponential form is:

21152 = 2⁵ × 661¹

Step-3: Factors of 21148

List of positive integer factors of 21148 that divides 21148 without a remainder.

1, 2, 4, 17, 34, 68, 311, 622, 1244, 5287, 10574

Step-4: Factors of 21152

List of positive integer factors of 21152 that divides 21148 without a remainder.

1, 2, 4, 8, 16, 32, 661, 1322, 2644, 5288, 10576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21148 and 21152. The biggest common factor number is the GCF number.
So the greatest common factor 21148 and 21152 is 4.

Also check out the Least Common Multiple of 21148 and 21152