What is the Greatest Common Factor of 65400 and 65409?

Greatest common factor (GCF) of 65400 and 65409 is 3.

GCF(65400,65409) = 3

We will now calculate the prime factors of 65400 and 65409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65400 and 65409.

How to find the GCF of 65400 and 65409?

We will first find the prime factorization of 65400 and 65409. After we will calculate the factors of 65400 and 65409 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 65409

Prime factors of 65409 are 3, 21803. Prime factorization of 65409 in exponential form is:

65409 = 3¹ × 21803¹

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 65409

List of positive integer factors of 65409 that divides 65400 without a remainder.

1, 3, 21803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65400 and 65409. The biggest common factor number is the GCF number.
So the greatest common factor 65400 and 65409 is 3.

Also check out the Least Common Multiple of 65400 and 65409