What is the Greatest Common Factor of 8576 and 8582?

Greatest common factor (GCF) of 8576 and 8582 is 2.

GCF(8576,8582) = 2

We will now calculate the prime factors of 8576 and 8582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8576 and 8582.

How to find the GCF of 8576 and 8582?

We will first find the prime factorization of 8576 and 8582. After we will calculate the factors of 8576 and 8582 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 8582

Prime factors of 8582 are 2, 7, 613. Prime factorization of 8582 in exponential form is:

8582 = 2¹ × 7¹ × 613¹

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 8582

List of positive integer factors of 8582 that divides 8576 without a remainder.

1, 2, 7, 14, 613, 1226, 4291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8576 and 8582. The biggest common factor number is the GCF number.
So the greatest common factor 8576 and 8582 is 2.

Also check out the Least Common Multiple of 8576 and 8582