What is the Greatest Common Factor of 58605 and 58624?

Greatest common factor (GCF) of 58605 and 58624 is 1.

GCF(58605,58624) = 1

We will now calculate the prime factors of 58605 and 58624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58605 and 58624.

How to find the GCF of 58605 and 58624?

We will first find the prime factorization of 58605 and 58624. After we will calculate the factors of 58605 and 58624 and find the biggest common factor number .

Step-1: Prime Factorization of 58605

Prime factors of 58605 are 3, 5, 3907. Prime factorization of 58605 in exponential form is:

58605 = 3¹ × 5¹ × 3907¹

Step-2: Prime Factorization of 58624

Prime factors of 58624 are 2, 229. Prime factorization of 58624 in exponential form is:

58624 = 2⁸ × 229¹

Step-3: Factors of 58605

List of positive integer factors of 58605 that divides 58605 without a remainder.

1, 3, 5, 15, 3907, 11721, 19535

Step-4: Factors of 58624

List of positive integer factors of 58624 that divides 58605 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 229, 256, 458, 916, 1832, 3664, 7328, 14656, 29312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58605 and 58624. The biggest common factor number is the GCF number.
So the greatest common factor 58605 and 58624 is 1.

Also check out the Least Common Multiple of 58605 and 58624