What is the Greatest Common Factor of 75187 and 75200?

Greatest common factor (GCF) of 75187 and 75200 is 1.

GCF(75187,75200) = 1

We will now calculate the prime factors of 75187 and 75200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75187 and 75200.

How to find the GCF of 75187 and 75200?

We will first find the prime factorization of 75187 and 75200. After we will calculate the factors of 75187 and 75200 and find the biggest common factor number .

Step-1: Prime Factorization of 75187

Prime factors of 75187 are 7, 23, 467. Prime factorization of 75187 in exponential form is:

75187 = 7¹ × 23¹ × 467¹

Step-2: Prime Factorization of 75200

Prime factors of 75200 are 2, 5, 47. Prime factorization of 75200 in exponential form is:

75200 = 2⁶ × 5² × 47¹

Step-3: Factors of 75187

List of positive integer factors of 75187 that divides 75187 without a remainder.

1, 7, 23, 161, 467, 3269, 10741

Step-4: Factors of 75200

List of positive integer factors of 75200 that divides 75187 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 47, 50, 64, 80, 94, 100, 160, 188, 200, 235, 320, 376, 400, 470, 752, 800, 940, 1175, 1504, 1600, 1880, 2350, 3008, 3760, 4700, 7520, 9400, 15040, 18800, 37600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75187 and 75200. The biggest common factor number is the GCF number.
So the greatest common factor 75187 and 75200 is 1.

Also check out the Least Common Multiple of 75187 and 75200