What is the Greatest Common Factor of 48385 and 48405?

Greatest common factor (GCF) of 48385 and 48405 is 5.

GCF(48385,48405) = 5

We will now calculate the prime factors of 48385 and 48405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48385 and 48405.

How to find the GCF of 48385 and 48405?

We will first find the prime factorization of 48385 and 48405. After we will calculate the factors of 48385 and 48405 and find the biggest common factor number .

Step-1: Prime Factorization of 48385

Prime factors of 48385 are 5, 9677. Prime factorization of 48385 in exponential form is:

48385 = 5¹ × 9677¹

Step-2: Prime Factorization of 48405

Prime factors of 48405 are 3, 5, 7, 461. Prime factorization of 48405 in exponential form is:

48405 = 3¹ × 5¹ × 7¹ × 461¹

Step-3: Factors of 48385

List of positive integer factors of 48385 that divides 48385 without a remainder.

1, 5, 9677

Step-4: Factors of 48405

List of positive integer factors of 48405 that divides 48385 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 461, 1383, 2305, 3227, 6915, 9681, 16135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48385 and 48405. The biggest common factor number is the GCF number.
So the greatest common factor 48385 and 48405 is 5.

Also check out the Least Common Multiple of 48385 and 48405