What is the Greatest Common Factor of 58497 and 58514?

Greatest common factor (GCF) of 58497 and 58514 is 17.

GCF(58497,58514) = 17

We will now calculate the prime factors of 58497 and 58514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58497 and 58514.

How to find the GCF of 58497 and 58514?

We will first find the prime factorization of 58497 and 58514. After we will calculate the factors of 58497 and 58514 and find the biggest common factor number .

Step-1: Prime Factorization of 58497

Prime factors of 58497 are 3, 17, 31, 37. Prime factorization of 58497 in exponential form is:

58497 = 3¹ × 17¹ × 31¹ × 37¹

Step-2: Prime Factorization of 58514

Prime factors of 58514 are 2, 17, 1721. Prime factorization of 58514 in exponential form is:

58514 = 2¹ × 17¹ × 1721¹

Step-3: Factors of 58497

List of positive integer factors of 58497 that divides 58497 without a remainder.

1, 3, 17, 31, 37, 51, 93, 111, 527, 629, 1147, 1581, 1887, 3441, 19499

Step-4: Factors of 58514

List of positive integer factors of 58514 that divides 58497 without a remainder.

1, 2, 17, 34, 1721, 3442, 29257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58497 and 58514. The biggest common factor number is the GCF number.
So the greatest common factor 58497 and 58514 is 17.

Also check out the Least Common Multiple of 58497 and 58514