What is the Greatest Common Factor of 15200 and 15218?

Greatest common factor (GCF) of 15200 and 15218 is 2.

GCF(15200,15218) = 2

We will now calculate the prime factors of 15200 and 15218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15200 and 15218.

How to find the GCF of 15200 and 15218?

We will first find the prime factorization of 15200 and 15218. After we will calculate the factors of 15200 and 15218 and find the biggest common factor number .

Step-1: Prime Factorization of 15200

Prime factors of 15200 are 2, 5, 19. Prime factorization of 15200 in exponential form is:

15200 = 2⁵ × 5² × 19¹

Step-2: Prime Factorization of 15218

Prime factors of 15218 are 2, 7, 1087. Prime factorization of 15218 in exponential form is:

15218 = 2¹ × 7¹ × 1087¹

Step-3: Factors of 15200

List of positive integer factors of 15200 that divides 15200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 152, 160, 190, 200, 304, 380, 400, 475, 608, 760, 800, 950, 1520, 1900, 3040, 3800, 7600

Step-4: Factors of 15218

List of positive integer factors of 15218 that divides 15200 without a remainder.

1, 2, 7, 14, 1087, 2174, 7609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15200 and 15218. The biggest common factor number is the GCF number.
So the greatest common factor 15200 and 15218 is 2.

Also check out the Least Common Multiple of 15200 and 15218