What is the Greatest Common Factor of 21735 and 21745?

Greatest common factor (GCF) of 21735 and 21745 is 5.

GCF(21735,21745) = 5

We will now calculate the prime factors of 21735 and 21745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21735 and 21745.

How to find the GCF of 21735 and 21745?

We will first find the prime factorization of 21735 and 21745. After we will calculate the factors of 21735 and 21745 and find the biggest common factor number .

Step-1: Prime Factorization of 21735

Prime factors of 21735 are 3, 5, 7, 23. Prime factorization of 21735 in exponential form is:

21735 = 3³ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 21745

Prime factors of 21745 are 5, 4349. Prime factorization of 21745 in exponential form is:

21745 = 5¹ × 4349¹

Step-3: Factors of 21735

List of positive integer factors of 21735 that divides 21735 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 27, 35, 45, 63, 69, 105, 115, 135, 161, 189, 207, 315, 345, 483, 621, 805, 945, 1035, 1449, 2415, 3105, 4347, 7245

Step-4: Factors of 21745

List of positive integer factors of 21745 that divides 21735 without a remainder.

1, 5, 4349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21735 and 21745. The biggest common factor number is the GCF number.
So the greatest common factor 21735 and 21745 is 5.

Also check out the Least Common Multiple of 21735 and 21745