What is the Greatest Common Factor of 36015 and 36019?

Greatest common factor (GCF) of 36015 and 36019 is 1.

GCF(36015,36019) = 1

We will now calculate the prime factors of 36015 and 36019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36015 and 36019.

How to find the GCF of 36015 and 36019?

We will first find the prime factorization of 36015 and 36019. After we will calculate the factors of 36015 and 36019 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 36019

Prime factors of 36019 are 181, 199. Prime factorization of 36019 in exponential form is:

36019 = 181¹ × 199¹

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 36019

List of positive integer factors of 36019 that divides 36015 without a remainder.

1, 181, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36015 and 36019. The biggest common factor number is the GCF number.
So the greatest common factor 36015 and 36019 is 1.

Also check out the Least Common Multiple of 36015 and 36019