What is the Greatest Common Factor of 65340 and 65355?

Greatest common factor (GCF) of 65340 and 65355 is 15.

GCF(65340,65355) = 15

We will now calculate the prime factors of 65340 and 65355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65340 and 65355.

How to find the GCF of 65340 and 65355?

We will first find the prime factorization of 65340 and 65355. After we will calculate the factors of 65340 and 65355 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65355

Prime factors of 65355 are 3, 5, 4357. Prime factorization of 65355 in exponential form is:

65355 = 3¹ × 5¹ × 4357¹

Step-3: Factors of 65340

List of positive integer factors of 65340 that divides 65340 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

Step-4: Factors of 65355

List of positive integer factors of 65355 that divides 65340 without a remainder.

1, 3, 5, 15, 4357, 13071, 21785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65340 and 65355. The biggest common factor number is the GCF number.
So the greatest common factor 65340 and 65355 is 15.

Also check out the Least Common Multiple of 65340 and 65355