What is the Greatest Common Factor of 15312 and 15330?

Greatest common factor (GCF) of 15312 and 15330 is 6.

GCF(15312,15330) = 6

We will now calculate the prime factors of 15312 and 15330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15312 and 15330.

How to find the GCF of 15312 and 15330?

We will first find the prime factorization of 15312 and 15330. After we will calculate the factors of 15312 and 15330 and find the biggest common factor number .

Step-1: Prime Factorization of 15312

Prime factors of 15312 are 2, 3, 11, 29. Prime factorization of 15312 in exponential form is:

15312 = 2⁴ × 3¹ × 11¹ × 29¹

Step-2: 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-3: Factors of 15312

List of positive integer factors of 15312 that divides 15312 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 29, 33, 44, 48, 58, 66, 87, 88, 116, 132, 174, 176, 232, 264, 319, 348, 464, 528, 638, 696, 957, 1276, 1392, 1914, 2552, 3828, 5104, 7656

Step-4: Factors of 15330

List of positive integer factors of 15330 that divides 15312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15312 and 15330. The biggest common factor number is the GCF number.
So the greatest common factor 15312 and 15330 is 6.

Also check out the Least Common Multiple of 15312 and 15330