What is the Greatest Common Factor of 36048 and 36065?

Greatest common factor (GCF) of 36048 and 36065 is 1.

GCF(36048,36065) = 1

We will now calculate the prime factors of 36048 and 36065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36048 and 36065.

How to find the GCF of 36048 and 36065?

We will first find the prime factorization of 36048 and 36065. After we will calculate the factors of 36048 and 36065 and find the biggest common factor number .

Step-1: Prime Factorization of 36048

Prime factors of 36048 are 2, 3, 751. Prime factorization of 36048 in exponential form is:

36048 = 2⁴ × 3¹ × 751¹

Step-2: Prime Factorization of 36065

Prime factors of 36065 are 5, 7213. Prime factorization of 36065 in exponential form is:

36065 = 5¹ × 7213¹

Step-3: Factors of 36048

List of positive integer factors of 36048 that divides 36048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 751, 1502, 2253, 3004, 4506, 6008, 9012, 12016, 18024

Step-4: Factors of 36065

List of positive integer factors of 36065 that divides 36048 without a remainder.

1, 5, 7213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36048 and 36065. The biggest common factor number is the GCF number.
So the greatest common factor 36048 and 36065 is 1.

Also check out the Least Common Multiple of 36048 and 36065