What is the Greatest Common Factor of 21288 and 21305?

Greatest common factor (GCF) of 21288 and 21305 is 1.

GCF(21288,21305) = 1

We will now calculate the prime factors of 21288 and 21305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21288 and 21305.

How to find the GCF of 21288 and 21305?

We will first find the prime factorization of 21288 and 21305. After we will calculate the factors of 21288 and 21305 and find the biggest common factor number .

Step-1: Prime Factorization of 21288

Prime factors of 21288 are 2, 3, 887. Prime factorization of 21288 in exponential form is:

21288 = 2³ × 3¹ × 887¹

Step-2: Prime Factorization of 21305

Prime factors of 21305 are 5, 4261. Prime factorization of 21305 in exponential form is:

21305 = 5¹ × 4261¹

Step-3: Factors of 21288

List of positive integer factors of 21288 that divides 21288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 887, 1774, 2661, 3548, 5322, 7096, 10644

Step-4: Factors of 21305

List of positive integer factors of 21305 that divides 21288 without a remainder.

1, 5, 4261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21288 and 21305. The biggest common factor number is the GCF number.
So the greatest common factor 21288 and 21305 is 1.

Also check out the Least Common Multiple of 21288 and 21305