What is the Greatest Common Factor of 58645 and 58663?

Greatest common factor (GCF) of 58645 and 58663 is 1.

GCF(58645,58663) = 1

We will now calculate the prime factors of 58645 and 58663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58645 and 58663.

How to find the GCF of 58645 and 58663?

We will first find the prime factorization of 58645 and 58663. After we will calculate the factors of 58645 and 58663 and find the biggest common factor number .

Step-1: Prime Factorization of 58645

Prime factors of 58645 are 5, 37, 317. Prime factorization of 58645 in exponential form is:

58645 = 5¹ × 37¹ × 317¹

Step-2: Prime Factorization of 58663

Prime factors of 58663 are 11, 5333. Prime factorization of 58663 in exponential form is:

58663 = 11¹ × 5333¹

Step-3: Factors of 58645

List of positive integer factors of 58645 that divides 58645 without a remainder.

1, 5, 37, 185, 317, 1585, 11729

Step-4: Factors of 58663

List of positive integer factors of 58663 that divides 58645 without a remainder.

1, 11, 5333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58645 and 58663. The biggest common factor number is the GCF number.
So the greatest common factor 58645 and 58663 is 1.

Also check out the Least Common Multiple of 58645 and 58663