What is the Greatest Common Factor of 36005 and 36015?

Greatest common factor (GCF) of 36005 and 36015 is 5.

GCF(36005,36015) = 5

We will now calculate the prime factors of 36005 and 36015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36005 and 36015.

How to find the GCF of 36005 and 36015?

We will first find the prime factorization of 36005 and 36015. After we will calculate the factors of 36005 and 36015 and find the biggest common factor number .

Step-1: Prime Factorization of 36005

Prime factors of 36005 are 5, 19, 379. Prime factorization of 36005 in exponential form is:

36005 = 5¹ × 19¹ × 379¹

Step-2: 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-3: Factors of 36005

List of positive integer factors of 36005 that divides 36005 without a remainder.

1, 5, 19, 95, 379, 1895, 7201

Step-4: Factors of 36015

List of positive integer factors of 36015 that divides 36005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36005 and 36015. The biggest common factor number is the GCF number.
So the greatest common factor 36005 and 36015 is 5.

Also check out the Least Common Multiple of 36005 and 36015