What is the Greatest Common Factor of 85324 and 85336?

Greatest common factor (GCF) of 85324 and 85336 is 4.

GCF(85324,85336) = 4

We will now calculate the prime factors of 85324 and 85336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85324 and 85336.

How to find the GCF of 85324 and 85336?

We will first find the prime factorization of 85324 and 85336. After we will calculate the factors of 85324 and 85336 and find the biggest common factor number .

Step-1: Prime Factorization of 85324

Prime factors of 85324 are 2, 83, 257. Prime factorization of 85324 in exponential form is:

85324 = 2² × 83¹ × 257¹

Step-2: Prime Factorization of 85336

Prime factors of 85336 are 2, 10667. Prime factorization of 85336 in exponential form is:

85336 = 2³ × 10667¹

Step-3: Factors of 85324

List of positive integer factors of 85324 that divides 85324 without a remainder.

1, 2, 4, 83, 166, 257, 332, 514, 1028, 21331, 42662

Step-4: Factors of 85336

List of positive integer factors of 85336 that divides 85324 without a remainder.

1, 2, 4, 8, 10667, 21334, 42668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85324 and 85336. The biggest common factor number is the GCF number.
So the greatest common factor 85324 and 85336 is 4.

Also check out the Least Common Multiple of 85324 and 85336