What is the Greatest Common Factor of 36015 and 36027?

Greatest common factor (GCF) of 36015 and 36027 is 3.

GCF(36015,36027) = 3

We will now calculate the prime factors of 36015 and 36027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36015 and 36027.

How to find the GCF of 36015 and 36027?

We will first find the prime factorization of 36015 and 36027. After we will calculate the factors of 36015 and 36027 and find the biggest common factor number .

Step-1: Prime Factorization of 36015

Prime factors of 36015 are 3, 5, 7. Prime factorization of 36015 in exponential form is:

36015 = 3¹ × 5¹ × 7⁴

Step-2: Prime Factorization of 36027

Prime factors of 36027 are 3, 4003. Prime factorization of 36027 in exponential form is:

36027 = 3² × 4003¹

Step-3: Factors of 36015

List of positive integer factors of 36015 that divides 36015 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005

Step-4: Factors of 36027

List of positive integer factors of 36027 that divides 36015 without a remainder.

1, 3, 9, 4003, 12009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36015 and 36027. The biggest common factor number is the GCF number.
So the greatest common factor 36015 and 36027 is 3.

Also check out the Least Common Multiple of 36015 and 36027