What is the Greatest Common Factor of 62305 and 62317?

Greatest common factor (GCF) of 62305 and 62317 is 1.

GCF(62305,62317) = 1

We will now calculate the prime factors of 62305 and 62317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62305 and 62317.

How to find the GCF of 62305 and 62317?

We will first find the prime factorization of 62305 and 62317. After we will calculate the factors of 62305 and 62317 and find the biggest common factor number .

Step-1: Prime Factorization of 62305

Prime factors of 62305 are 5, 17, 733. Prime factorization of 62305 in exponential form is:

62305 = 5¹ × 17¹ × 733¹

Step-2: Prime Factorization of 62317

Prime factors of 62317 are 101, 617. Prime factorization of 62317 in exponential form is:

62317 = 101¹ × 617¹

Step-3: Factors of 62305

List of positive integer factors of 62305 that divides 62305 without a remainder.

1, 5, 17, 85, 733, 3665, 12461

Step-4: Factors of 62317

List of positive integer factors of 62317 that divides 62305 without a remainder.

1, 101, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62305 and 62317. The biggest common factor number is the GCF number.
So the greatest common factor 62305 and 62317 is 1.

Also check out the Least Common Multiple of 62305 and 62317