What is the Greatest Common Factor of 15405 and 15411?

Greatest common factor (GCF) of 15405 and 15411 is 3.

GCF(15405,15411) = 3

We will now calculate the prime factors of 15405 and 15411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15405 and 15411.

How to find the GCF of 15405 and 15411?

We will first find the prime factorization of 15405 and 15411. After we will calculate the factors of 15405 and 15411 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 15411

Prime factors of 15411 are 3, 11, 467. Prime factorization of 15411 in exponential form is:

15411 = 3¹ × 11¹ × 467¹

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 15411

List of positive integer factors of 15411 that divides 15405 without a remainder.

1, 3, 11, 33, 467, 1401, 5137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15405 and 15411. The biggest common factor number is the GCF number.
So the greatest common factor 15405 and 15411 is 3.

Also check out the Least Common Multiple of 15405 and 15411