What is the Greatest Common Factor of 85845 and 85864?

Greatest common factor (GCF) of 85845 and 85864 is 1.

GCF(85845,85864) = 1

We will now calculate the prime factors of 85845 and 85864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85845 and 85864.

How to find the GCF of 85845 and 85864?

We will first find the prime factorization of 85845 and 85864. After we will calculate the factors of 85845 and 85864 and find the biggest common factor number .

Step-1: Prime Factorization of 85845

Prime factors of 85845 are 3, 5, 59, 97. Prime factorization of 85845 in exponential form is:

85845 = 3¹ × 5¹ × 59¹ × 97¹

Step-2: Prime Factorization of 85864

Prime factors of 85864 are 2, 10733. Prime factorization of 85864 in exponential form is:

85864 = 2³ × 10733¹

Step-3: Factors of 85845

List of positive integer factors of 85845 that divides 85845 without a remainder.

1, 3, 5, 15, 59, 97, 177, 291, 295, 485, 885, 1455, 5723, 17169, 28615

Step-4: Factors of 85864

List of positive integer factors of 85864 that divides 85845 without a remainder.

1, 2, 4, 8, 10733, 21466, 42932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85845 and 85864. The biggest common factor number is the GCF number.
So the greatest common factor 85845 and 85864 is 1.

Also check out the Least Common Multiple of 85845 and 85864