What is the Greatest Common Factor of 58576 and 58584?

Greatest common factor (GCF) of 58576 and 58584 is 8.

GCF(58576,58584) = 8

We will now calculate the prime factors of 58576 and 58584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58576 and 58584.

How to find the GCF of 58576 and 58584?

We will first find the prime factorization of 58576 and 58584. After we will calculate the factors of 58576 and 58584 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 58584

Prime factors of 58584 are 2, 3, 2441. Prime factorization of 58584 in exponential form is:

58584 = 2³ × 3¹ × 2441¹

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 58584

List of positive integer factors of 58584 that divides 58576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2441, 4882, 7323, 9764, 14646, 19528, 29292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58576 and 58584. The biggest common factor number is the GCF number.
So the greatest common factor 58576 and 58584 is 8.

Also check out the Least Common Multiple of 58576 and 58584