What is the Greatest Common Factor of 36071 and 36081?

Greatest common factor (GCF) of 36071 and 36081 is 1.

GCF(36071,36081) = 1

We will now calculate the prime factors of 36071 and 36081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36071 and 36081.

How to find the GCF of 36071 and 36081?

We will first find the prime factorization of 36071 and 36081. After we will calculate the factors of 36071 and 36081 and find the biggest common factor number .

Step-1: Prime Factorization of 36071

Prime factors of 36071 are 7, 5153. Prime factorization of 36071 in exponential form is:

36071 = 7¹ × 5153¹

Step-2: Prime Factorization of 36081

Prime factors of 36081 are 3, 19, 211. Prime factorization of 36081 in exponential form is:

36081 = 3² × 19¹ × 211¹

Step-3: Factors of 36071

List of positive integer factors of 36071 that divides 36071 without a remainder.

1, 7, 5153

Step-4: Factors of 36081

List of positive integer factors of 36081 that divides 36071 without a remainder.

1, 3, 9, 19, 57, 171, 211, 633, 1899, 4009, 12027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36071 and 36081. The biggest common factor number is the GCF number.
So the greatest common factor 36071 and 36081 is 1.

Also check out the Least Common Multiple of 36071 and 36081