What is the Greatest Common Factor of 15330 and 15343?

Greatest common factor (GCF) of 15330 and 15343 is 1.

GCF(15330,15343) = 1

We will now calculate the prime factors of 15330 and 15343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15330 and 15343.

How to find the GCF of 15330 and 15343?

We will first find the prime factorization of 15330 and 15343. After we will calculate the factors of 15330 and 15343 and find the biggest common factor number .

Step-1: Prime Factorization of 15330

Prime factors of 15330 are 2, 3, 5, 7, 73. Prime factorization of 15330 in exponential form is:

15330 = 2¹ × 3¹ × 5¹ × 7¹ × 73¹

Step-2: Prime Factorization of 15343

Prime factors of 15343 are 67, 229. Prime factorization of 15343 in exponential form is:

15343 = 67¹ × 229¹

Step-3: Factors of 15330

List of positive integer factors of 15330 that divides 15330 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 73, 105, 146, 210, 219, 365, 438, 511, 730, 1022, 1095, 1533, 2190, 2555, 3066, 5110, 7665

Step-4: Factors of 15343

List of positive integer factors of 15343 that divides 15330 without a remainder.

1, 67, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15330 and 15343. The biggest common factor number is the GCF number.
So the greatest common factor 15330 and 15343 is 1.

Also check out the Least Common Multiple of 15330 and 15343