What is the Greatest Common Factor of 65328 and 65340?

Greatest common factor (GCF) of 65328 and 65340 is 12.

GCF(65328,65340) = 12

We will now calculate the prime factors of 65328 and 65340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65328 and 65340.

How to find the GCF of 65328 and 65340?

We will first find the prime factorization of 65328 and 65340. After we will calculate the factors of 65328 and 65340 and find the biggest common factor number .

Step-1: Prime Factorization of 65328

Prime factors of 65328 are 2, 3, 1361. Prime factorization of 65328 in exponential form is:

65328 = 2⁴ × 3¹ × 1361¹

Step-2: Prime Factorization of 65340

Prime factors of 65340 are 2, 3, 5, 11. Prime factorization of 65340 in exponential form is:

65340 = 2² × 3³ × 5¹ × 11²

Step-3: Factors of 65328

List of positive integer factors of 65328 that divides 65328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1361, 2722, 4083, 5444, 8166, 10888, 16332, 21776, 32664

Step-4: Factors of 65340

List of positive integer factors of 65340 that divides 65328 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 121, 132, 135, 165, 180, 198, 220, 242, 270, 297, 330, 363, 396, 484, 495, 540, 594, 605, 660, 726, 990, 1089, 1188, 1210, 1452, 1485, 1815, 1980, 2178, 2420, 2970, 3267, 3630, 4356, 5445, 5940, 6534, 7260, 10890, 13068, 16335, 21780, 32670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65328 and 65340. The biggest common factor number is the GCF number.
So the greatest common factor 65328 and 65340 is 12.

Also check out the Least Common Multiple of 65328 and 65340