What is the Greatest Common Factor of 48285 and 48291?

Greatest common factor (GCF) of 48285 and 48291 is 3.

GCF(48285,48291) = 3

We will now calculate the prime factors of 48285 and 48291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48285 and 48291.

How to find the GCF of 48285 and 48291?

We will first find the prime factorization of 48285 and 48291. After we will calculate the factors of 48285 and 48291 and find the biggest common factor number .

Step-1: Prime Factorization of 48285

Prime factors of 48285 are 3, 5, 29, 37. Prime factorization of 48285 in exponential form is:

48285 = 3² × 5¹ × 29¹ × 37¹

Step-2: Prime Factorization of 48291

Prime factors of 48291 are 3, 16097. Prime factorization of 48291 in exponential form is:

48291 = 3¹ × 16097¹

Step-3: Factors of 48285

List of positive integer factors of 48285 that divides 48285 without a remainder.

1, 3, 5, 9, 15, 29, 37, 45, 87, 111, 145, 185, 261, 333, 435, 555, 1073, 1305, 1665, 3219, 5365, 9657, 16095

Step-4: Factors of 48291

List of positive integer factors of 48291 that divides 48285 without a remainder.

1, 3, 16097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48285 and 48291. The biggest common factor number is the GCF number.
So the greatest common factor 48285 and 48291 is 3.

Also check out the Least Common Multiple of 48285 and 48291