What is the Greatest Common Factor of 65305 and 65309?

Greatest common factor (GCF) of 65305 and 65309 is 1.

GCF(65305,65309) = 1

We will now calculate the prime factors of 65305 and 65309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65305 and 65309.

How to find the GCF of 65305 and 65309?

We will first find the prime factorization of 65305 and 65309. After we will calculate the factors of 65305 and 65309 and find the biggest common factor number .

Step-1: Prime Factorization of 65305

Prime factors of 65305 are 5, 37, 353. Prime factorization of 65305 in exponential form is:

65305 = 5¹ × 37¹ × 353¹

Step-2: Prime Factorization of 65309

Prime factors of 65309 are 65309. Prime factorization of 65309 in exponential form is:

65309 = 65309¹

Step-3: Factors of 65305

List of positive integer factors of 65305 that divides 65305 without a remainder.

1, 5, 37, 185, 353, 1765, 13061

Step-4: Factors of 65309

List of positive integer factors of 65309 that divides 65305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65305 and 65309. The biggest common factor number is the GCF number.
So the greatest common factor 65305 and 65309 is 1.

Also check out the Least Common Multiple of 65305 and 65309