What is the Greatest Common Factor of 75255 and 75275?

Greatest common factor (GCF) of 75255 and 75275 is 5.

GCF(75255,75275) = 5

We will now calculate the prime factors of 75255 and 75275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75255 and 75275.

How to find the GCF of 75255 and 75275?

We will first find the prime factorization of 75255 and 75275. After we will calculate the factors of 75255 and 75275 and find the biggest common factor number .

Step-1: Prime Factorization of 75255

Prime factors of 75255 are 3, 5, 29, 173. Prime factorization of 75255 in exponential form is:

75255 = 3¹ × 5¹ × 29¹ × 173¹

Step-2: Prime Factorization of 75275

Prime factors of 75275 are 5, 3011. Prime factorization of 75275 in exponential form is:

75275 = 5² × 3011¹

Step-3: Factors of 75255

List of positive integer factors of 75255 that divides 75255 without a remainder.

1, 3, 5, 15, 29, 87, 145, 173, 435, 519, 865, 2595, 5017, 15051, 25085

Step-4: Factors of 75275

List of positive integer factors of 75275 that divides 75255 without a remainder.

1, 5, 25, 3011, 15055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75255 and 75275. The biggest common factor number is the GCF number.
So the greatest common factor 75255 and 75275 is 5.

Also check out the Least Common Multiple of 75255 and 75275