What is the Greatest Common Factor of 21681 and 21699?

Greatest common factor (GCF) of 21681 and 21699 is 9.

GCF(21681,21699) = 9

We will now calculate the prime factors of 21681 and 21699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21681 and 21699.

How to find the GCF of 21681 and 21699?

We will first find the prime factorization of 21681 and 21699. After we will calculate the factors of 21681 and 21699 and find the biggest common factor number .

Step-1: Prime Factorization of 21681

Prime factors of 21681 are 3, 11, 73. Prime factorization of 21681 in exponential form is:

21681 = 3³ × 11¹ × 73¹

Step-2: Prime Factorization of 21699

Prime factors of 21699 are 3, 2411. Prime factorization of 21699 in exponential form is:

21699 = 3² × 2411¹

Step-3: Factors of 21681

List of positive integer factors of 21681 that divides 21681 without a remainder.

1, 3, 9, 11, 27, 33, 73, 99, 219, 297, 657, 803, 1971, 2409, 7227

Step-4: Factors of 21699

List of positive integer factors of 21699 that divides 21681 without a remainder.

1, 3, 9, 2411, 7233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21681 and 21699. The biggest common factor number is the GCF number.
So the greatest common factor 21681 and 21699 is 9.

Also check out the Least Common Multiple of 21681 and 21699