What is the Greatest Common Factor of 36048 and 36053?

Greatest common factor (GCF) of 36048 and 36053 is 1.

GCF(36048,36053) = 1

We will now calculate the prime factors of 36048 and 36053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36048 and 36053.

How to find the GCF of 36048 and 36053?

We will first find the prime factorization of 36048 and 36053. After we will calculate the factors of 36048 and 36053 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 36053

Prime factors of 36053 are 31, 1163. Prime factorization of 36053 in exponential form is:

36053 = 31¹ × 1163¹

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 36053

List of positive integer factors of 36053 that divides 36048 without a remainder.

1, 31, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36048 and 36053. The biggest common factor number is the GCF number.
So the greatest common factor 36048 and 36053 is 1.

Also check out the Least Common Multiple of 36048 and 36053