What is the Greatest Common Factor of 58575 and 58586?

Greatest common factor (GCF) of 58575 and 58586 is 11.

GCF(58575,58586) = 11

We will now calculate the prime factors of 58575 and 58586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58575 and 58586.

How to find the GCF of 58575 and 58586?

We will first find the prime factorization of 58575 and 58586. After we will calculate the factors of 58575 and 58586 and find the biggest common factor number .

Step-1: Prime Factorization of 58575

Prime factors of 58575 are 3, 5, 11, 71. Prime factorization of 58575 in exponential form is:

58575 = 3¹ × 5² × 11¹ × 71¹

Step-2: Prime Factorization of 58586

Prime factors of 58586 are 2, 11, 2663. Prime factorization of 58586 in exponential form is:

58586 = 2¹ × 11¹ × 2663¹

Step-3: Factors of 58575

List of positive integer factors of 58575 that divides 58575 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 71, 75, 165, 213, 275, 355, 781, 825, 1065, 1775, 2343, 3905, 5325, 11715, 19525

Step-4: Factors of 58586

List of positive integer factors of 58586 that divides 58575 without a remainder.

1, 2, 11, 22, 2663, 5326, 29293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58575 and 58586. The biggest common factor number is the GCF number.
So the greatest common factor 58575 and 58586 is 11.

Also check out the Least Common Multiple of 58575 and 58586