What is the Greatest Common Factor of 15400 and 15420?

Greatest common factor (GCF) of 15400 and 15420 is 20.

GCF(15400,15420) = 20

We will now calculate the prime factors of 15400 and 15420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15400 and 15420.

How to find the GCF of 15400 and 15420?

We will first find the prime factorization of 15400 and 15420. After we will calculate the factors of 15400 and 15420 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 15420

Prime factors of 15420 are 2, 3, 5, 257. Prime factorization of 15420 in exponential form is:

15420 = 2² × 3¹ × 5¹ × 257¹

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 15420

List of positive integer factors of 15420 that divides 15400 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 257, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 7710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15400 and 15420. The biggest common factor number is the GCF number.
So the greatest common factor 15400 and 15420 is 20.

Also check out the Least Common Multiple of 15400 and 15420