What is the Greatest Common Factor of 65205 and 65221?

Greatest common factor (GCF) of 65205 and 65221 is 1.

GCF(65205,65221) = 1

We will now calculate the prime factors of 65205 and 65221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65205 and 65221.

How to find the GCF of 65205 and 65221?

We will first find the prime factorization of 65205 and 65221. After we will calculate the factors of 65205 and 65221 and find the biggest common factor number .

Step-1: Prime Factorization of 65205

Prime factors of 65205 are 3, 5, 7, 23. Prime factorization of 65205 in exponential form is:

65205 = 3⁴ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 65221

Prime factors of 65221 are 13, 29, 173. Prime factorization of 65221 in exponential form is:

65221 = 13¹ × 29¹ × 173¹

Step-3: Factors of 65205

List of positive integer factors of 65205 that divides 65205 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 27, 35, 45, 63, 69, 81, 105, 115, 135, 161, 189, 207, 315, 345, 405, 483, 567, 621, 805, 945, 1035, 1449, 1863, 2415, 2835, 3105, 4347, 7245, 9315, 13041, 21735

Step-4: Factors of 65221

List of positive integer factors of 65221 that divides 65205 without a remainder.

1, 13, 29, 173, 377, 2249, 5017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65205 and 65221. The biggest common factor number is the GCF number.
So the greatest common factor 65205 and 65221 is 1.

Also check out the Least Common Multiple of 65205 and 65221