What is the Greatest Common Factor of 36048 and 36059?

Greatest common factor (GCF) of 36048 and 36059 is 1.

GCF(36048,36059) = 1

We will now calculate the prime factors of 36048 and 36059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36048 and 36059.

How to find the GCF of 36048 and 36059?

We will first find the prime factorization of 36048 and 36059. After we will calculate the factors of 36048 and 36059 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 36059

Prime factors of 36059 are 107, 337. Prime factorization of 36059 in exponential form is:

36059 = 107¹ × 337¹

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 36059

List of positive integer factors of 36059 that divides 36048 without a remainder.

1, 107, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36048 and 36059. The biggest common factor number is the GCF number.
So the greatest common factor 36048 and 36059 is 1.

Also check out the Least Common Multiple of 36048 and 36059