What is the Greatest Common Factor of 65400 and 65415?

Greatest common factor (GCF) of 65400 and 65415 is 15.

GCF(65400,65415) = 15

We will now calculate the prime factors of 65400 and 65415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65400 and 65415.

How to find the GCF of 65400 and 65415?

We will first find the prime factorization of 65400 and 65415. After we will calculate the factors of 65400 and 65415 and find the biggest common factor number .

Step-1: Prime Factorization of 65400

Prime factors of 65400 are 2, 3, 5, 109. Prime factorization of 65400 in exponential form is:

65400 = 2³ × 3¹ × 5² × 109¹

Step-2: Prime Factorization of 65415

Prime factors of 65415 are 3, 5, 7, 89. Prime factorization of 65415 in exponential form is:

65415 = 3¹ × 5¹ × 7² × 89¹

Step-3: Factors of 65400

List of positive integer factors of 65400 that divides 65400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 109, 120, 150, 200, 218, 300, 327, 436, 545, 600, 654, 872, 1090, 1308, 1635, 2180, 2616, 2725, 3270, 4360, 5450, 6540, 8175, 10900, 13080, 16350, 21800, 32700

Step-4: Factors of 65415

List of positive integer factors of 65415 that divides 65400 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 89, 105, 147, 245, 267, 445, 623, 735, 1335, 1869, 3115, 4361, 9345, 13083, 21805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65400 and 65415. The biggest common factor number is the GCF number.
So the greatest common factor 65400 and 65415 is 15.

Also check out the Least Common Multiple of 65400 and 65415