What is the Greatest Common Factor of 65299 and 65309?

Greatest common factor (GCF) of 65299 and 65309 is 1.

GCF(65299,65309) = 1

We will now calculate the prime factors of 65299 and 65309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65299 and 65309.

How to find the GCF of 65299 and 65309?

We will first find the prime factorization of 65299 and 65309. After we will calculate the factors of 65299 and 65309 and find the biggest common factor number .

Step-1: Prime Factorization of 65299

Prime factors of 65299 are 13, 5023. Prime factorization of 65299 in exponential form is:

65299 = 13¹ × 5023¹

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 65299

List of positive integer factors of 65299 that divides 65299 without a remainder.

1, 13, 5023

Step-4: Factors of 65309

List of positive integer factors of 65309 that divides 65299 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65299 and 65309. The biggest common factor number is the GCF number.
So the greatest common factor 65299 and 65309 is 1.

Also check out the Least Common Multiple of 65299 and 65309