What is the Greatest Common Factor of 85275 and 85295?

Greatest common factor (GCF) of 85275 and 85295 is 5.

GCF(85275,85295) = 5

We will now calculate the prime factors of 85275 and 85295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85275 and 85295.

How to find the GCF of 85275 and 85295?

We will first find the prime factorization of 85275 and 85295. After we will calculate the factors of 85275 and 85295 and find the biggest common factor number .

Step-1: Prime Factorization of 85275

Prime factors of 85275 are 3, 5, 379. Prime factorization of 85275 in exponential form is:

85275 = 3² × 5² × 379¹

Step-2: Prime Factorization of 85295

Prime factors of 85295 are 5, 7, 2437. Prime factorization of 85295 in exponential form is:

85295 = 5¹ × 7¹ × 2437¹

Step-3: Factors of 85275

List of positive integer factors of 85275 that divides 85275 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 379, 1137, 1895, 3411, 5685, 9475, 17055, 28425

Step-4: Factors of 85295

List of positive integer factors of 85295 that divides 85275 without a remainder.

1, 5, 7, 35, 2437, 12185, 17059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85275 and 85295. The biggest common factor number is the GCF number.
So the greatest common factor 85275 and 85295 is 5.

Also check out the Least Common Multiple of 85275 and 85295