What is the Greatest Common Factor of 85854 and 85864?

Greatest common factor (GCF) of 85854 and 85864 is 2.

GCF(85854,85864) = 2

We will now calculate the prime factors of 85854 and 85864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85854 and 85864.

How to find the GCF of 85854 and 85864?

We will first find the prime factorization of 85854 and 85864. After we will calculate the factors of 85854 and 85864 and find the biggest common factor number .

Step-1: Prime Factorization of 85854

Prime factors of 85854 are 2, 3, 41, 349. Prime factorization of 85854 in exponential form is:

85854 = 2¹ × 3¹ × 41¹ × 349¹

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 85854

List of positive integer factors of 85854 that divides 85854 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 349, 698, 1047, 2094, 14309, 28618, 42927

Step-4: Factors of 85864

List of positive integer factors of 85864 that divides 85854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85854 and 85864. The biggest common factor number is the GCF number.
So the greatest common factor 85854 and 85864 is 2.

Also check out the Least Common Multiple of 85854 and 85864