What is the Greatest Common Factor of 36062 and 36081?

Greatest common factor (GCF) of 36062 and 36081 is 19.

GCF(36062,36081) = 19

We will now calculate the prime factors of 36062 and 36081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36062 and 36081.

How to find the GCF of 36062 and 36081?

We will first find the prime factorization of 36062 and 36081. After we will calculate the factors of 36062 and 36081 and find the biggest common factor number .

Step-1: Prime Factorization of 36062

Prime factors of 36062 are 2, 13, 19, 73. Prime factorization of 36062 in exponential form is:

36062 = 2¹ × 13¹ × 19¹ × 73¹

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 36062

List of positive integer factors of 36062 that divides 36062 without a remainder.

1, 2, 13, 19, 26, 38, 73, 146, 247, 494, 949, 1387, 1898, 2774, 18031

Step-4: Factors of 36081

List of positive integer factors of 36081 that divides 36062 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 36062 and 36081. The biggest common factor number is the GCF number.
So the greatest common factor 36062 and 36081 is 19.

Also check out the Least Common Multiple of 36062 and 36081