What is the Greatest Common Factor of 85353 and 85365?

Greatest common factor (GCF) of 85353 and 85365 is 3.

GCF(85353,85365) = 3

We will now calculate the prime factors of 85353 and 85365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85353 and 85365.

How to find the GCF of 85353 and 85365?

We will first find the prime factorization of 85353 and 85365. After we will calculate the factors of 85353 and 85365 and find the biggest common factor number .

Step-1: Prime Factorization of 85353

Prime factors of 85353 are 3, 23, 1237. Prime factorization of 85353 in exponential form is:

85353 = 3¹ × 23¹ × 1237¹

Step-2: Prime Factorization of 85365

Prime factors of 85365 are 3, 5, 7, 271. Prime factorization of 85365 in exponential form is:

85365 = 3² × 5¹ × 7¹ × 271¹

Step-3: Factors of 85353

List of positive integer factors of 85353 that divides 85353 without a remainder.

1, 3, 23, 69, 1237, 3711, 28451

Step-4: Factors of 85365

List of positive integer factors of 85365 that divides 85353 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 271, 315, 813, 1355, 1897, 2439, 4065, 5691, 9485, 12195, 17073, 28455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85353 and 85365. The biggest common factor number is the GCF number.
So the greatest common factor 85353 and 85365 is 3.

Also check out the Least Common Multiple of 85353 and 85365