What is the Greatest Common Factor of 15405 and 15420?

Greatest common factor (GCF) of 15405 and 15420 is 15.

GCF(15405,15420) = 15

We will now calculate the prime factors of 15405 and 15420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15405 and 15420.

How to find the GCF of 15405 and 15420?

We will first find the prime factorization of 15405 and 15420. After we will calculate the factors of 15405 and 15420 and find the biggest common factor number .

Step-1: Prime Factorization of 15405

Prime factors of 15405 are 3, 5, 13, 79. Prime factorization of 15405 in exponential form is:

15405 = 3¹ × 5¹ × 13¹ × 79¹

Step-2: Prime Factorization of 15420

Prime factors of 15420 are 2, 3, 5, 257. Prime factorization of 15420 in exponential form is:

15420 = 2² × 3¹ × 5¹ × 257¹

Step-3: Factors of 15405

List of positive integer factors of 15405 that divides 15405 without a remainder.

1, 3, 5, 13, 15, 39, 65, 79, 195, 237, 395, 1027, 1185, 3081, 5135

Step-4: Factors of 15420

List of positive integer factors of 15420 that divides 15405 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 257, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 7710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15405 and 15420. The biggest common factor number is the GCF number.
So the greatest common factor 15405 and 15420 is 15.

Also check out the Least Common Multiple of 15405 and 15420