What is the Greatest Common Factor of 15380 and 15400?

Greatest common factor (GCF) of 15380 and 15400 is 20.

GCF(15380,15400) = 20

We will now calculate the prime factors of 15380 and 15400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15380 and 15400.

How to find the GCF of 15380 and 15400?

We will first find the prime factorization of 15380 and 15400. After we will calculate the factors of 15380 and 15400 and find the biggest common factor number .

Step-1: Prime Factorization of 15380

Prime factors of 15380 are 2, 5, 769. Prime factorization of 15380 in exponential form is:

15380 = 2² × 5¹ × 769¹

Step-2: 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-3: Factors of 15380

List of positive integer factors of 15380 that divides 15380 without a remainder.

1, 2, 4, 5, 10, 20, 769, 1538, 3076, 3845, 7690

Step-4: Factors of 15400

List of positive integer factors of 15400 that divides 15380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15380 and 15400. The biggest common factor number is the GCF number.
So the greatest common factor 15380 and 15400 is 20.

Also check out the Least Common Multiple of 15380 and 15400