What is the Greatest Common Factor of 48405 and 48420?

Greatest common factor (GCF) of 48405 and 48420 is 15.

GCF(48405,48420) = 15

We will now calculate the prime factors of 48405 and 48420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48405 and 48420.

How to find the GCF of 48405 and 48420?

We will first find the prime factorization of 48405 and 48420. After we will calculate the factors of 48405 and 48420 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48420

Prime factors of 48420 are 2, 3, 5, 269. Prime factorization of 48420 in exponential form is:

48420 = 2² × 3² × 5¹ × 269¹

Step-3: Factors of 48405

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

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

Step-4: Factors of 48420

List of positive integer factors of 48420 that divides 48405 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 269, 538, 807, 1076, 1345, 1614, 2421, 2690, 3228, 4035, 4842, 5380, 8070, 9684, 12105, 16140, 24210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48405 and 48420. The biggest common factor number is the GCF number.
So the greatest common factor 48405 and 48420 is 15.

Also check out the Least Common Multiple of 48405 and 48420