What is the Greatest Common Factor of 59509 and 59517?

Greatest common factor (GCF) of 59509 and 59517 is 1.

GCF(59509,59517) = 1

We will now calculate the prime factors of 59509 and 59517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59509 and 59517.

How to find the GCF of 59509 and 59517?

We will first find the prime factorization of 59509 and 59517. After we will calculate the factors of 59509 and 59517 and find the biggest common factor number .

Step-1: Prime Factorization of 59509

Prime factors of 59509 are 59509. Prime factorization of 59509 in exponential form is:

59509 = 59509¹

Step-2: Prime Factorization of 59517

Prime factors of 59517 are 3, 17, 389. Prime factorization of 59517 in exponential form is:

59517 = 3² × 17¹ × 389¹

Step-3: Factors of 59509

List of positive integer factors of 59509 that divides 59509 without a remainder.

Step-4: Factors of 59517

List of positive integer factors of 59517 that divides 59509 without a remainder.

1, 3, 9, 17, 51, 153, 389, 1167, 3501, 6613, 19839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59509 and 59517. The biggest common factor number is the GCF number.
So the greatest common factor 59509 and 59517 is 1.

Also check out the Least Common Multiple of 59509 and 59517