What is the Greatest Common Factor of 15200 and 15215?

Greatest common factor (GCF) of 15200 and 15215 is 5.

GCF(15200,15215) = 5

We will now calculate the prime factors of 15200 and 15215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15200 and 15215.

How to find the GCF of 15200 and 15215?

We will first find the prime factorization of 15200 and 15215. After we will calculate the factors of 15200 and 15215 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 15215

Prime factors of 15215 are 5, 17, 179. Prime factorization of 15215 in exponential form is:

15215 = 5¹ × 17¹ × 179¹

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 15215

List of positive integer factors of 15215 that divides 15200 without a remainder.

1, 5, 17, 85, 179, 895, 3043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15200 and 15215. The biggest common factor number is the GCF number.
So the greatest common factor 15200 and 15215 is 5.

Also check out the Least Common Multiple of 15200 and 15215