What is the Greatest Common Factor of 65400 and 65411?

Greatest common factor (GCF) of 65400 and 65411 is 1.

GCF(65400,65411) = 1

We will now calculate the prime factors of 65400 and 65411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65400 and 65411.

How to find the GCF of 65400 and 65411?

We will first find the prime factorization of 65400 and 65411. After we will calculate the factors of 65400 and 65411 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 65411

Prime factors of 65411 are 149, 439. Prime factorization of 65411 in exponential form is:

65411 = 149¹ × 439¹

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 65411

List of positive integer factors of 65411 that divides 65400 without a remainder.

1, 149, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65400 and 65411. The biggest common factor number is the GCF number.
So the greatest common factor 65400 and 65411 is 1.

Also check out the Least Common Multiple of 65400 and 65411