What is the Greatest Common Factor of 65201 and 65221?

Greatest common factor (GCF) of 65201 and 65221 is 1.

GCF(65201,65221) = 1

We will now calculate the prime factors of 65201 and 65221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65201 and 65221.

How to find the GCF of 65201 and 65221?

We will first find the prime factorization of 65201 and 65221. After we will calculate the factors of 65201 and 65221 and find the biggest common factor number .

Step-1: Prime Factorization of 65201

Prime factors of 65201 are 113, 577. Prime factorization of 65201 in exponential form is:

65201 = 113¹ × 577¹

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 65201

List of positive integer factors of 65201 that divides 65201 without a remainder.

1, 113, 577

Step-4: Factors of 65221

List of positive integer factors of 65221 that divides 65201 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65201 and 65221. The biggest common factor number is the GCF number.
So the greatest common factor 65201 and 65221 is 1.

Also check out the Least Common Multiple of 65201 and 65221