What is the Greatest Common Factor of 75200 and 75211?

Greatest common factor (GCF) of 75200 and 75211 is 1.

GCF(75200,75211) = 1

We will now calculate the prime factors of 75200 and 75211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75200 and 75211.

How to find the GCF of 75200 and 75211?

We will first find the prime factorization of 75200 and 75211. After we will calculate the factors of 75200 and 75211 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75211

Prime factors of 75211 are 75211. Prime factorization of 75211 in exponential form is:

75211 = 75211¹

Step-3: Factors of 75200

List of positive integer factors of 75200 that divides 75200 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

Step-4: Factors of 75211

List of positive integer factors of 75211 that divides 75200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75200 and 75211. The biggest common factor number is the GCF number.
So the greatest common factor 75200 and 75211 is 1.

Also check out the Least Common Multiple of 75200 and 75211