What is the Greatest Common Factor of 36561 and 36571?

Greatest common factor (GCF) of 36561 and 36571 is 1.

GCF(36561,36571) = 1

We will now calculate the prime factors of 36561 and 36571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36561 and 36571.

How to find the GCF of 36561 and 36571?

We will first find the prime factorization of 36561 and 36571. After we will calculate the factors of 36561 and 36571 and find the biggest common factor number .

Step-1: Prime Factorization of 36561

Prime factors of 36561 are 3, 7, 1741. Prime factorization of 36561 in exponential form is:

36561 = 3¹ × 7¹ × 1741¹

Step-2: Prime Factorization of 36571

Prime factors of 36571 are 36571. Prime factorization of 36571 in exponential form is:

36571 = 36571¹

Step-3: Factors of 36561

List of positive integer factors of 36561 that divides 36561 without a remainder.

1, 3, 7, 21, 1741, 5223, 12187

Step-4: Factors of 36571

List of positive integer factors of 36571 that divides 36561 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36561 and 36571. The biggest common factor number is the GCF number.
So the greatest common factor 36561 and 36571 is 1.

Also check out the Least Common Multiple of 36561 and 36571