What is the Greatest Common Factor of 32571 and 32582?

Greatest common factor (GCF) of 32571 and 32582 is 11.

GCF(32571,32582) = 11

We will now calculate the prime factors of 32571 and 32582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32571 and 32582.

How to find the GCF of 32571 and 32582?

We will first find the prime factorization of 32571 and 32582. After we will calculate the factors of 32571 and 32582 and find the biggest common factor number .

Step-1: Prime Factorization of 32571

Prime factors of 32571 are 3, 7, 11, 47. Prime factorization of 32571 in exponential form is:

32571 = 3² × 7¹ × 11¹ × 47¹

Step-2: Prime Factorization of 32582

Prime factors of 32582 are 2, 11, 1481. Prime factorization of 32582 in exponential form is:

32582 = 2¹ × 11¹ × 1481¹

Step-3: Factors of 32571

List of positive integer factors of 32571 that divides 32571 without a remainder.

1, 3, 7, 9, 11, 21, 33, 47, 63, 77, 99, 141, 231, 329, 423, 517, 693, 987, 1551, 2961, 3619, 4653, 10857

Step-4: Factors of 32582

List of positive integer factors of 32582 that divides 32571 without a remainder.

1, 2, 11, 22, 1481, 2962, 16291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32571 and 32582. The biggest common factor number is the GCF number.
So the greatest common factor 32571 and 32582 is 11.

Also check out the Least Common Multiple of 32571 and 32582