What is the Greatest Common Factor of 75375 and 75385?

Greatest common factor (GCF) of 75375 and 75385 is 5.

GCF(75375,75385) = 5

We will now calculate the prime factors of 75375 and 75385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75375 and 75385.

How to find the GCF of 75375 and 75385?

We will first find the prime factorization of 75375 and 75385. After we will calculate the factors of 75375 and 75385 and find the biggest common factor number .

Step-1: Prime Factorization of 75375

Prime factors of 75375 are 3, 5, 67. Prime factorization of 75375 in exponential form is:

75375 = 3² × 5³ × 67¹

Step-2: Prime Factorization of 75385

Prime factors of 75385 are 5, 15077. Prime factorization of 75385 in exponential form is:

75385 = 5¹ × 15077¹

Step-3: Factors of 75375

List of positive integer factors of 75375 that divides 75375 without a remainder.

1, 3, 5, 9, 15, 25, 45, 67, 75, 125, 201, 225, 335, 375, 603, 1005, 1125, 1675, 3015, 5025, 8375, 15075, 25125

Step-4: Factors of 75385

List of positive integer factors of 75385 that divides 75375 without a remainder.

1, 5, 15077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75375 and 75385. The biggest common factor number is the GCF number.
So the greatest common factor 75375 and 75385 is 5.

Also check out the Least Common Multiple of 75375 and 75385