What is the Greatest Common Factor of 85269 and 85275?

Greatest common factor (GCF) of 85269 and 85275 is 3.

GCF(85269,85275) = 3

We will now calculate the prime factors of 85269 and 85275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85269 and 85275.

How to find the GCF of 85269 and 85275?

We will first find the prime factorization of 85269 and 85275. After we will calculate the factors of 85269 and 85275 and find the biggest common factor number .

Step-1: Prime Factorization of 85269

Prime factors of 85269 are 3, 43, 661. Prime factorization of 85269 in exponential form is:

85269 = 3¹ × 43¹ × 661¹

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 85269

List of positive integer factors of 85269 that divides 85269 without a remainder.

1, 3, 43, 129, 661, 1983, 28423

Step-4: Factors of 85275

List of positive integer factors of 85275 that divides 85269 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 85269 and 85275. The biggest common factor number is the GCF number.
So the greatest common factor 85269 and 85275 is 3.

Also check out the Least Common Multiple of 85269 and 85275