What is the Greatest Common Factor of 48285 and 48292?

Greatest common factor (GCF) of 48285 and 48292 is 1.

GCF(48285,48292) = 1

We will now calculate the prime factors of 48285 and 48292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48285 and 48292.

How to find the GCF of 48285 and 48292?

We will first find the prime factorization of 48285 and 48292. After we will calculate the factors of 48285 and 48292 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 48292

Prime factors of 48292 are 2, 12073. Prime factorization of 48292 in exponential form is:

48292 = 2² × 12073¹

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 48292

List of positive integer factors of 48292 that divides 48285 without a remainder.

1, 2, 4, 12073, 24146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48285 and 48292. The biggest common factor number is the GCF number.
So the greatest common factor 48285 and 48292 is 1.

Also check out the Least Common Multiple of 48285 and 48292