What is the Greatest Common Factor of 15385 and 15402?

Greatest common factor (GCF) of 15385 and 15402 is 17.

GCF(15385,15402) = 17

We will now calculate the prime factors of 15385 and 15402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15385 and 15402.

How to find the GCF of 15385 and 15402?

We will first find the prime factorization of 15385 and 15402. After we will calculate the factors of 15385 and 15402 and find the biggest common factor number .

Step-1: Prime Factorization of 15385

Prime factors of 15385 are 5, 17, 181. Prime factorization of 15385 in exponential form is:

15385 = 5¹ × 17¹ × 181¹

Step-2: Prime Factorization of 15402

Prime factors of 15402 are 2, 3, 17, 151. Prime factorization of 15402 in exponential form is:

15402 = 2¹ × 3¹ × 17¹ × 151¹

Step-3: Factors of 15385

List of positive integer factors of 15385 that divides 15385 without a remainder.

1, 5, 17, 85, 181, 905, 3077

Step-4: Factors of 15402

List of positive integer factors of 15402 that divides 15385 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 151, 302, 453, 906, 2567, 5134, 7701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15385 and 15402. The biggest common factor number is the GCF number.
So the greatest common factor 15385 and 15402 is 17.

Also check out the Least Common Multiple of 15385 and 15402