What is the Greatest Common Factor of 48027 and 48033?

Greatest common factor (GCF) of 48027 and 48033 is 3.

GCF(48027,48033) = 3

We will now calculate the prime factors of 48027 and 48033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48027 and 48033.

How to find the GCF of 48027 and 48033?

We will first find the prime factorization of 48027 and 48033. After we will calculate the factors of 48027 and 48033 and find the biggest common factor number .

Step-1: Prime Factorization of 48027

Prime factors of 48027 are 3, 7, 2287. Prime factorization of 48027 in exponential form is:

48027 = 3¹ × 7¹ × 2287¹

Step-2: Prime Factorization of 48033

Prime factors of 48033 are 3, 593. Prime factorization of 48033 in exponential form is:

48033 = 3⁴ × 593¹

Step-3: Factors of 48027

List of positive integer factors of 48027 that divides 48027 without a remainder.

1, 3, 7, 21, 2287, 6861, 16009

Step-4: Factors of 48033

List of positive integer factors of 48033 that divides 48027 without a remainder.

1, 3, 9, 27, 81, 593, 1779, 5337, 16011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48027 and 48033. The biggest common factor number is the GCF number.
So the greatest common factor 48027 and 48033 is 3.

Also check out the Least Common Multiple of 48027 and 48033