What is the Greatest Common Factor of 85323 and 85335?

Greatest common factor (GCF) of 85323 and 85335 is 3.

GCF(85323,85335) = 3

We will now calculate the prime factors of 85323 and 85335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85323 and 85335.

How to find the GCF of 85323 and 85335?

We will first find the prime factorization of 85323 and 85335. After we will calculate the factors of 85323 and 85335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85335

Prime factors of 85335 are 3, 5, 5689. Prime factorization of 85335 in exponential form is:

85335 = 3¹ × 5¹ × 5689¹

Step-3: Factors of 85323

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

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

Step-4: Factors of 85335

List of positive integer factors of 85335 that divides 85323 without a remainder.

1, 3, 5, 15, 5689, 17067, 28445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85323 and 85335. The biggest common factor number is the GCF number.
So the greatest common factor 85323 and 85335 is 3.

Also check out the Least Common Multiple of 85323 and 85335