What is the Greatest Common Factor of 36513 and 36531?

Greatest common factor (GCF) of 36513 and 36531 is 9.

GCF(36513,36531) = 9

We will now calculate the prime factors of 36513 and 36531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36513 and 36531.

How to find the GCF of 36513 and 36531?

We will first find the prime factorization of 36513 and 36531. After we will calculate the factors of 36513 and 36531 and find the biggest common factor number .

Step-1: Prime Factorization of 36513

Prime factors of 36513 are 3, 4057. Prime factorization of 36513 in exponential form is:

36513 = 3² × 4057¹

Step-2: Prime Factorization of 36531

Prime factors of 36531 are 3, 11, 41. Prime factorization of 36531 in exponential form is:

36531 = 3⁴ × 11¹ × 41¹

Step-3: Factors of 36513

List of positive integer factors of 36513 that divides 36513 without a remainder.

1, 3, 9, 4057, 12171

Step-4: Factors of 36531

List of positive integer factors of 36531 that divides 36513 without a remainder.

1, 3, 9, 11, 27, 33, 41, 81, 99, 123, 297, 369, 451, 891, 1107, 1353, 3321, 4059, 12177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36513 and 36531. The biggest common factor number is the GCF number.
So the greatest common factor 36513 and 36531 is 9.

Also check out the Least Common Multiple of 36513 and 36531