What is the Greatest Common Factor of 85310 and 85323?

Greatest common factor (GCF) of 85310 and 85323 is 1.

GCF(85310,85323) = 1

We will now calculate the prime factors of 85310 and 85323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85310 and 85323.

How to find the GCF of 85310 and 85323?

We will first find the prime factorization of 85310 and 85323. After we will calculate the factors of 85310 and 85323 and find the biggest common factor number .

Step-1: Prime Factorization of 85310

Prime factors of 85310 are 2, 5, 19, 449. Prime factorization of 85310 in exponential form is:

85310 = 2¹ × 5¹ × 19¹ × 449¹

Step-2: Prime Factorization of 85323

Prime factors of 85323 are 3, 7, 17, 239. Prime factorization of 85323 in exponential form is:

85323 = 3¹ × 7¹ × 17¹ × 239¹

Step-3: Factors of 85310

List of positive integer factors of 85310 that divides 85310 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 449, 898, 2245, 4490, 8531, 17062, 42655

Step-4: Factors of 85323

List of positive integer factors of 85323 that divides 85310 without a remainder.

1, 3, 7, 17, 21, 51, 119, 239, 357, 717, 1673, 4063, 5019, 12189, 28441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85310 and 85323. The biggest common factor number is the GCF number.
So the greatest common factor 85310 and 85323 is 1.

Also check out the Least Common Multiple of 85310 and 85323