What is the Greatest Common Factor of 65340 and 65345?

Greatest common factor (GCF) of 65340 and 65345 is 5.

GCF(65340,65345) = 5

We will now calculate the prime factors of 65340 and 65345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65340 and 65345.

How to find the GCF of 65340 and 65345?

We will first find the prime factorization of 65340 and 65345. After we will calculate the factors of 65340 and 65345 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 65345

Prime factors of 65345 are 5, 7, 1867. Prime factorization of 65345 in exponential form is:

65345 = 5¹ × 7¹ × 1867¹

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 65345

List of positive integer factors of 65345 that divides 65340 without a remainder.

1, 5, 7, 35, 1867, 9335, 13069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65340 and 65345. The biggest common factor number is the GCF number.
So the greatest common factor 65340 and 65345 is 5.

Also check out the Least Common Multiple of 65340 and 65345