What is the Greatest Common Factor of 48285 and 48289?

Greatest common factor (GCF) of 48285 and 48289 is 1.

GCF(48285,48289) = 1

We will now calculate the prime factors of 48285 and 48289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48285 and 48289.

How to find the GCF of 48285 and 48289?

We will first find the prime factorization of 48285 and 48289. After we will calculate the factors of 48285 and 48289 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 48289

Prime factors of 48289 are 43, 1123. Prime factorization of 48289 in exponential form is:

48289 = 43¹ × 1123¹

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 48289

List of positive integer factors of 48289 that divides 48285 without a remainder.

1, 43, 1123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48285 and 48289. The biggest common factor number is the GCF number.
So the greatest common factor 48285 and 48289 is 1.

Also check out the Least Common Multiple of 48285 and 48289