What is the Greatest Common Factor of 36005 and 36024?

Greatest common factor (GCF) of 36005 and 36024 is 19.

GCF(36005,36024) = 19

We will now calculate the prime factors of 36005 and 36024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36005 and 36024.

How to find the GCF of 36005 and 36024?

We will first find the prime factorization of 36005 and 36024. After we will calculate the factors of 36005 and 36024 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 36024

Prime factors of 36024 are 2, 3, 19, 79. Prime factorization of 36024 in exponential form is:

36024 = 2³ × 3¹ × 19¹ × 79¹

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 36024

List of positive integer factors of 36024 that divides 36005 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158, 228, 237, 316, 456, 474, 632, 948, 1501, 1896, 3002, 4503, 6004, 9006, 12008, 18012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36005 and 36024. The biggest common factor number is the GCF number.
So the greatest common factor 36005 and 36024 is 19.

Also check out the Least Common Multiple of 36005 and 36024