What is the Greatest Common Factor of 21591 and 21603?

Greatest common factor (GCF) of 21591 and 21603 is 3.

GCF(21591,21603) = 3

We will now calculate the prime factors of 21591 and 21603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21591 and 21603.

How to find the GCF of 21591 and 21603?

We will first find the prime factorization of 21591 and 21603. After we will calculate the factors of 21591 and 21603 and find the biggest common factor number .

Step-1: Prime Factorization of 21591

Prime factors of 21591 are 3, 2399. Prime factorization of 21591 in exponential form is:

21591 = 3² × 2399¹

Step-2: Prime Factorization of 21603

Prime factors of 21603 are 3, 19, 379. Prime factorization of 21603 in exponential form is:

21603 = 3¹ × 19¹ × 379¹

Step-3: Factors of 21591

List of positive integer factors of 21591 that divides 21591 without a remainder.

1, 3, 9, 2399, 7197

Step-4: Factors of 21603

List of positive integer factors of 21603 that divides 21591 without a remainder.

1, 3, 19, 57, 379, 1137, 7201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21591 and 21603. The biggest common factor number is the GCF number.
So the greatest common factor 21591 and 21603 is 3.

Also check out the Least Common Multiple of 21591 and 21603