What is the Greatest Common Factor of 58609 and 58624?

Greatest common factor (GCF) of 58609 and 58624 is 1.

GCF(58609,58624) = 1

We will now calculate the prime factors of 58609 and 58624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58609 and 58624.

How to find the GCF of 58609 and 58624?

We will first find the prime factorization of 58609 and 58624. After we will calculate the factors of 58609 and 58624 and find the biggest common factor number .

Step-1: Prime Factorization of 58609

Prime factors of 58609 are 29, 43, 47. Prime factorization of 58609 in exponential form is:

58609 = 29¹ × 43¹ × 47¹

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 58609

List of positive integer factors of 58609 that divides 58609 without a remainder.

1, 29, 43, 47, 1247, 1363, 2021

Step-4: Factors of 58624

List of positive integer factors of 58624 that divides 58609 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 58609 and 58624. The biggest common factor number is the GCF number.
So the greatest common factor 58609 and 58624 is 1.

Also check out the Least Common Multiple of 58609 and 58624