What is the Greatest Common Factor of 85664 and 85682?

Greatest common factor (GCF) of 85664 and 85682 is 2.

GCF(85664,85682) = 2

We will now calculate the prime factors of 85664 and 85682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85664 and 85682.

How to find the GCF of 85664 and 85682?

We will first find the prime factorization of 85664 and 85682. After we will calculate the factors of 85664 and 85682 and find the biggest common factor number .

Step-1: Prime Factorization of 85664

Prime factors of 85664 are 2, 2677. Prime factorization of 85664 in exponential form is:

85664 = 2⁵ × 2677¹

Step-2: Prime Factorization of 85682

Prime factors of 85682 are 2, 42841. Prime factorization of 85682 in exponential form is:

85682 = 2¹ × 42841¹

Step-3: Factors of 85664

List of positive integer factors of 85664 that divides 85664 without a remainder.

1, 2, 4, 8, 16, 32, 2677, 5354, 10708, 21416, 42832

Step-4: Factors of 85682

List of positive integer factors of 85682 that divides 85664 without a remainder.

1, 2, 42841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85664 and 85682. The biggest common factor number is the GCF number.
So the greatest common factor 85664 and 85682 is 2.

Also check out the Least Common Multiple of 85664 and 85682