What is the Greatest Common Factor of 58576 and 58591?

Greatest common factor (GCF) of 58576 and 58591 is 1.

GCF(58576,58591) = 1

We will now calculate the prime factors of 58576 and 58591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58576 and 58591.

How to find the GCF of 58576 and 58591?

We will first find the prime factorization of 58576 and 58591. After we will calculate the factors of 58576 and 58591 and find the biggest common factor number .

Step-1: Prime Factorization of 58576

Prime factors of 58576 are 2, 7, 523. Prime factorization of 58576 in exponential form is:

58576 = 2⁴ × 7¹ × 523¹

Step-2: Prime Factorization of 58591

Prime factors of 58591 are 13, 4507. Prime factorization of 58591 in exponential form is:

58591 = 13¹ × 4507¹

Step-3: Factors of 58576

List of positive integer factors of 58576 that divides 58576 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 523, 1046, 2092, 3661, 4184, 7322, 8368, 14644, 29288

Step-4: Factors of 58591

List of positive integer factors of 58591 that divides 58576 without a remainder.

1, 13, 4507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58576 and 58591. The biggest common factor number is the GCF number.
So the greatest common factor 58576 and 58591 is 1.

Also check out the Least Common Multiple of 58576 and 58591