What is the Greatest Common Factor of 15330 and 15335?

Greatest common factor (GCF) of 15330 and 15335 is 5.

GCF(15330,15335) = 5

We will now calculate the prime factors of 15330 and 15335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15330 and 15335.

How to find the GCF of 15330 and 15335?

We will first find the prime factorization of 15330 and 15335. After we will calculate the factors of 15330 and 15335 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 15335

Prime factors of 15335 are 5, 3067. Prime factorization of 15335 in exponential form is:

15335 = 5¹ × 3067¹

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 15335

List of positive integer factors of 15335 that divides 15330 without a remainder.

1, 5, 3067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15330 and 15335. The biggest common factor number is the GCF number.
So the greatest common factor 15330 and 15335 is 5.

Also check out the Least Common Multiple of 15330 and 15335