What is the Greatest Common Factor of 81582 and 81588?

Greatest common factor (GCF) of 81582 and 81588 is 6.

GCF(81582,81588) = 6

We will now calculate the prime factors of 81582 and 81588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81582 and 81588.

How to find the GCF of 81582 and 81588?

We will first find the prime factorization of 81582 and 81588. After we will calculate the factors of 81582 and 81588 and find the biggest common factor number .

Step-1: Prime Factorization of 81582

Prime factors of 81582 are 2, 3, 13597. Prime factorization of 81582 in exponential form is:

81582 = 2¹ × 3¹ × 13597¹

Step-2: Prime Factorization of 81588

Prime factors of 81588 are 2, 3, 13, 523. Prime factorization of 81588 in exponential form is:

81588 = 2² × 3¹ × 13¹ × 523¹

Step-3: Factors of 81582

List of positive integer factors of 81582 that divides 81582 without a remainder.

1, 2, 3, 6, 13597, 27194, 40791

Step-4: Factors of 81588

List of positive integer factors of 81588 that divides 81582 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 523, 1046, 1569, 2092, 3138, 6276, 6799, 13598, 20397, 27196, 40794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81582 and 81588. The biggest common factor number is the GCF number.
So the greatest common factor 81582 and 81588 is 6.

Also check out the Least Common Multiple of 81582 and 81588