What is the Greatest Common Factor of 81574 and 81582?

Greatest common factor (GCF) of 81574 and 81582 is 2.

GCF(81574,81582) = 2

We will now calculate the prime factors of 81574 and 81582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81574 and 81582.

How to find the GCF of 81574 and 81582?

We will first find the prime factorization of 81574 and 81582. After we will calculate the factors of 81574 and 81582 and find the biggest common factor number .

Step-1: Prime Factorization of 81574

Prime factors of 81574 are 2, 40787. Prime factorization of 81574 in exponential form is:

81574 = 2¹ × 40787¹

Step-2: 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-3: Factors of 81574

List of positive integer factors of 81574 that divides 81574 without a remainder.

1, 2, 40787

Step-4: Factors of 81582

List of positive integer factors of 81582 that divides 81574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81574 and 81582. The biggest common factor number is the GCF number.
So the greatest common factor 81574 and 81582 is 2.

Also check out the Least Common Multiple of 81574 and 81582