What is the Greatest Common Factor of 65400 and 65404?

Greatest common factor (GCF) of 65400 and 65404 is 4.

GCF(65400,65404) = 4

We will now calculate the prime factors of 65400 and 65404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65400 and 65404.

How to find the GCF of 65400 and 65404?

We will first find the prime factorization of 65400 and 65404. After we will calculate the factors of 65400 and 65404 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 65404

Prime factors of 65404 are 2, 83, 197. Prime factorization of 65404 in exponential form is:

65404 = 2² × 83¹ × 197¹

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 65404

List of positive integer factors of 65404 that divides 65400 without a remainder.

1, 2, 4, 83, 166, 197, 332, 394, 788, 16351, 32702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65400 and 65404. The biggest common factor number is the GCF number.
So the greatest common factor 65400 and 65404 is 4.

Also check out the Least Common Multiple of 65400 and 65404