What is the Greatest Common Factor of 65400 and 65417?

Greatest common factor (GCF) of 65400 and 65417 is 1.

GCF(65400,65417) = 1

We will now calculate the prime factors of 65400 and 65417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65400 and 65417.

How to find the GCF of 65400 and 65417?

We will first find the prime factorization of 65400 and 65417. After we will calculate the factors of 65400 and 65417 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 65417

Prime factors of 65417 are 11, 19, 313. Prime factorization of 65417 in exponential form is:

65417 = 11¹ × 19¹ × 313¹

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 65417

List of positive integer factors of 65417 that divides 65400 without a remainder.

1, 11, 19, 209, 313, 3443, 5947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65400 and 65417. The biggest common factor number is the GCF number.
So the greatest common factor 65400 and 65417 is 1.

Also check out the Least Common Multiple of 65400 and 65417