What is the Greatest Common Factor of 85335 and 85347?

Greatest common factor (GCF) of 85335 and 85347 is 3.

GCF(85335,85347) = 3

We will now calculate the prime factors of 85335 and 85347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85335 and 85347.

How to find the GCF of 85335 and 85347?

We will first find the prime factorization of 85335 and 85347. After we will calculate the factors of 85335 and 85347 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85347

Prime factors of 85347 are 3, 29, 109. Prime factorization of 85347 in exponential form is:

85347 = 3³ × 29¹ × 109¹

Step-3: Factors of 85335

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

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

Step-4: Factors of 85347

List of positive integer factors of 85347 that divides 85335 without a remainder.

1, 3, 9, 27, 29, 87, 109, 261, 327, 783, 981, 2943, 3161, 9483, 28449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85335 and 85347. The biggest common factor number is the GCF number.
So the greatest common factor 85335 and 85347 is 3.

Also check out the Least Common Multiple of 85335 and 85347