What is the Greatest Common Factor of 75200 and 75207?

Greatest common factor (GCF) of 75200 and 75207 is 1.

GCF(75200,75207) = 1

We will now calculate the prime factors of 75200 and 75207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75200 and 75207.

How to find the GCF of 75200 and 75207?

We will first find the prime factorization of 75200 and 75207. After we will calculate the factors of 75200 and 75207 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 75207

Prime factors of 75207 are 3, 11, 43, 53. Prime factorization of 75207 in exponential form is:

75207 = 3¹ × 11¹ × 43¹ × 53¹

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 75207

List of positive integer factors of 75207 that divides 75200 without a remainder.

1, 3, 11, 33, 43, 53, 129, 159, 473, 583, 1419, 1749, 2279, 6837, 25069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75200 and 75207. The biggest common factor number is the GCF number.
So the greatest common factor 75200 and 75207 is 1.

Also check out the Least Common Multiple of 75200 and 75207