What is the Greatest Common Factor of 8576 and 8586?

Greatest common factor (GCF) of 8576 and 8586 is 2.

GCF(8576,8586) = 2

We will now calculate the prime factors of 8576 and 8586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8576 and 8586.

How to find the GCF of 8576 and 8586?

We will first find the prime factorization of 8576 and 8586. After we will calculate the factors of 8576 and 8586 and find the biggest common factor number .

Step-1: Prime Factorization of 8576

Prime factors of 8576 are 2, 67. Prime factorization of 8576 in exponential form is:

8576 = 2⁷ × 67¹

Step-2: Prime Factorization of 8586

Prime factors of 8586 are 2, 3, 53. Prime factorization of 8586 in exponential form is:

8586 = 2¹ × 3⁴ × 53¹

Step-3: Factors of 8576

List of positive integer factors of 8576 that divides 8576 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288

Step-4: Factors of 8586

List of positive integer factors of 8586 that divides 8576 without a remainder.

1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8576 and 8586. The biggest common factor number is the GCF number.
So the greatest common factor 8576 and 8586 is 2.

Also check out the Least Common Multiple of 8576 and 8586