What is the Greatest Common Factor of 15400 and 15404?

Greatest common factor (GCF) of 15400 and 15404 is 4.

GCF(15400,15404) = 4

We will now calculate the prime factors of 15400 and 15404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15400 and 15404.

How to find the GCF of 15400 and 15404?

We will first find the prime factorization of 15400 and 15404. After we will calculate the factors of 15400 and 15404 and find the biggest common factor number .

Step-1: Prime Factorization of 15400

Prime factors of 15400 are 2, 5, 7, 11. Prime factorization of 15400 in exponential form is:

15400 = 2³ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 15404

Prime factors of 15404 are 2, 3851. Prime factorization of 15404 in exponential form is:

15404 = 2² × 3851¹

Step-3: Factors of 15400

List of positive integer factors of 15400 that divides 15400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 25, 28, 35, 40, 44, 50, 55, 56, 70, 77, 88, 100, 110, 140, 154, 175, 200, 220, 275, 280, 308, 350, 385, 440, 550, 616, 700, 770, 1100, 1400, 1540, 1925, 2200, 3080, 3850, 7700

Step-4: Factors of 15404

List of positive integer factors of 15404 that divides 15400 without a remainder.

1, 2, 4, 3851, 7702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15400 and 15404. The biggest common factor number is the GCF number.
So the greatest common factor 15400 and 15404 is 4.

Also check out the Least Common Multiple of 15400 and 15404