What is the Greatest Common Factor of 85260 and 85275?

Greatest common factor (GCF) of 85260 and 85275 is 15.

GCF(85260,85275) = 15

We will now calculate the prime factors of 85260 and 85275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85260 and 85275.

How to find the GCF of 85260 and 85275?

We will first find the prime factorization of 85260 and 85275. After we will calculate the factors of 85260 and 85275 and find the biggest common factor number .

Step-1: Prime Factorization of 85260

Prime factors of 85260 are 2, 3, 5, 7, 29. Prime factorization of 85260 in exponential form is:

85260 = 2² × 3¹ × 5¹ × 7² × 29¹

Step-2: 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-3: Factors of 85260

List of positive integer factors of 85260 that divides 85260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 49, 58, 60, 70, 84, 87, 98, 105, 116, 140, 145, 147, 174, 196, 203, 210, 245, 290, 294, 348, 406, 420, 435, 490, 580, 588, 609, 735, 812, 870, 980, 1015, 1218, 1421, 1470, 1740, 2030, 2436, 2842, 2940, 3045, 4060, 4263, 5684, 6090, 7105, 8526, 12180, 14210, 17052, 21315, 28420, 42630

Step-4: Factors of 85275

List of positive integer factors of 85275 that divides 85260 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85260 and 85275. The biggest common factor number is the GCF number.
So the greatest common factor 85260 and 85275 is 15.

Also check out the Least Common Multiple of 85260 and 85275