What is the Greatest Common Factor of 58545 and 58559?

Greatest common factor (GCF) of 58545 and 58559 is 1.

GCF(58545,58559) = 1

We will now calculate the prime factors of 58545 and 58559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58545 and 58559.

How to find the GCF of 58545 and 58559?

We will first find the prime factorization of 58545 and 58559. After we will calculate the factors of 58545 and 58559 and find the biggest common factor number .

Step-1: Prime Factorization of 58545

Prime factors of 58545 are 3, 5, 1301. Prime factorization of 58545 in exponential form is:

58545 = 3² × 5¹ × 1301¹

Step-2: Prime Factorization of 58559

Prime factors of 58559 are 31, 1889. Prime factorization of 58559 in exponential form is:

58559 = 31¹ × 1889¹

Step-3: Factors of 58545

List of positive integer factors of 58545 that divides 58545 without a remainder.

1, 3, 5, 9, 15, 45, 1301, 3903, 6505, 11709, 19515

Step-4: Factors of 58559

List of positive integer factors of 58559 that divides 58545 without a remainder.

1, 31, 1889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58545 and 58559. The biggest common factor number is the GCF number.
So the greatest common factor 58545 and 58559 is 1.

Also check out the Least Common Multiple of 58545 and 58559